Exhibit 10.4

PRIVATE PLACEMENT SHARES PURCHASE AGREEMENT

THIS PRIVATE PLACEMENT SHARES PURCHASE AGREEMENT, dated as of May 4, 2023 (as it may from time to time be amended, this “Agreement”), is entered into by and between Alchemy Investments Acquisition Corp 1, a Cayman Islands exempted company (the “Company”), and Cantor Fitzgerald & Co., a New York general partnership (the “Purchaser”).

WHEREAS, the Company intends to consummate an initial public offering of the Company’s units (the “Public Offering”), each unit consisting of one Class A Ordinary Share, par value $0.0001 per share, of the Company (an “Ordinary Share”) and one-half of one redeemable warrant. The Purchaser has agreed to purchase an aggregate of 50,000 Ordinary Shares (or 57,500 in the aggregate depending on the extent to which the over-allotment option in connection with the Public Offering is exercised) (the “Private Placement Shares”).

NOW THEREFORE, in consideration of the mutual promises contained in this Agreement and other good and valuable consideration, the receipt and sufficiency of which are hereby acknowledged, the parties to this Agreement hereby, intending legally to be bound, agree as follows:

AGREEMENT

Section 1.Authorization, Purchase and Sale; Terms of the Private Placement Shares.

A.Authorization of the Private Placement Shares. The Company has duly authorized the issuance and sale of the Private Placement Shares to the Purchaser.

B.Purchase and Sale of the Private Placement Shares.

(i)On the date of the consummation of the Public Offering or on such earlier time and date as may be mutually agreed by the Purchaser and the Company (the “Initial Closing Date”), the Company shall issue and sell to the Purchaser, and the Purchaser shall purchase from the Company, an aggregate of 50,000 Private Placement Shares at a price of $10.00 per share for an aggregate purchase price of $500,000 (the “Purchase Price”), which shall be paid by wire transfer of immediately available funds to the Company on or prior to the Initial Closing Date in accordance with the Company’s wiring instructions. On the Initial Closing Date, upon the payment by the Purchaser of the Purchase Price, the Company, at its option, shall deliver a certificate evidencing the Private Placement Shares purchased by the Purchaser on such date duly registered in the Purchaser’s name to the Purchaser, or effect such delivery in book-entry form.

(ii)On the date of the consummation of the closing of the over-allotment option in connection with the Public Offering or on such earlier time and date as may be mutually agreed by the Purchaser and the Company (each such date, an “Over-allotment Closing Date”, and each Over-allotment Closing Date (if any) and the Initial Closing Date being sometimes referred to herein as a “Closing Date”), the Company shall issue and sell to the Purchaser, and the Purchaser shall purchase from the Company, up to an aggregate of 7,500 additional Private Placement Shares at a price of $10.00 per share for an aggregate purchase price of up to $75,000 (if the over-allotment option in connection with the Public Offering is exercised in full) (the “Over-allotment Purchase Price”). The Purchaser shall pay the Over-allotment Purchase Price by wire transfer of immediately available funds to the Company on or prior to the Over-allotment Closing Date in accordance with the Company’s wiring instructions. On the Over-allotment Closing Date, upon the payment by the Purchaser of the Over-allotment Purchase Price, the Company shall, at its option, deliver a certificate evidencing the Private Placement Shares purchased by the Purchaser on such date duly registered in the Purchaser’s name to the Purchaser, or effect such delivery in book-entry form.

C.Registration Rights Agreement. At, or prior to, the time of the closing of the Public Offering, the Company and the Purchaser shall enter into a registration rights agreement (the “Registration Rights Agreement”) pursuant to which the Company will grant certain registration rights to the Purchaser relating to the Private Placement Shares.

D. The Purchaser acknowledges that the Private Placement Shares and the related registration rights will be deemed compensation by the Financial Industry Regulatory Authority ("FINRA") and will therefore, pursuant to Rule 5110(e) of the FINRA Manual, be subject to lock-up for a period of 180 days immediately following the commencement of sales in the Public Offering, subject to certain limited exceptions to permitted transferees hereunder and in accordance with FINRA Rule 5110(e)(2)(B). The Private Placement Shares and the related registration rights may not be sold, transferred, assigned, pledged or hypothecated or be the subject of any hedging, short sale, derivative, put or call transaction that would result in the economic disposition of such securities by any person for a period of 180 days immediately following the commencement of sales in the Public Offering.

Section 2.Representations and Warranties of the Company. As a material inducement to the Purchaser to enter into this Agreement and purchase the Private Placement Shares, the Company hereby represents and warrants to the Purchaser (which representations and warranties shall survive the Closing Date) that:

A.Incorporation and Corporate Power. The Company is an exempted company duly incorporated, validly existing and in good standing under the laws of the Cayman Islands and is qualified to do business in every jurisdiction in which the failure to so qualify would reasonably be expected to have a material adverse effect on the financial condition, operating results or assets of the Company. The Company possesses all requisite corporate power and authority necessary to carry out the transactions contemplated by this Agreement and the Registration Rights Agreement.

B.Authorization; No Breach.

(i)The execution, delivery and performance of this Agreement and the Private Placement Shares have been duly authorized by the Company as of the Closing Date. This Agreement constitutes the valid and binding obligation of the Company, enforceable in accordance with its terms, except as such enforceability may be limited by applicable bankruptcy, insolvency, fraudulent conveyance or similar laws affecting the enforcement of creditors’ rights generally and subject to general principles of equity (regardless of whether enforcement is sought in a proceeding at law or in equity).

(ii)The execution and delivery by the Company of this Agreement and the Private Placement Shares, the issuance and sale of the Private Placement Shares and the fulfillment of, and compliance with, the respective terms hereof and thereof by the Company, do not and will not as of each Closing Date (a) conflict with or result in a breach of the terms, conditions or provisions of, (b) constitute a default under, (c) result in the creation of any lien, security interest, charge or encumbrance upon the Company’s equity or assets under, (d) result in a violation of, or (e) require any authorization, consent, approval, exemption or other action by or notice or declaration to, or filing with, any court or administrative or governmental body or agency pursuant to the Charter in effect on the date hereof or as may be amended prior to completion of the contemplated Public Offering, or any material law, statute, rule or regulation to which the Company is subject, or any agreement, order, judgment or decree to which the Company is subject, except for any filings required after the date hereof under federal or state securities laws.

C.Title to Securities. Upon issuance in accordance with, and payment pursuant to, the terms hereof, and upon registration in the Company’s register of members, the Private Placement Shares will be duly and validly issued, fully paid and non-assessable. Upon issuance in accordance with, and payment pursuant to, the terms hereof, and upon registration in the Company’s register of members, the Purchaser will have good title to the Private Placement Shares, free and clear of all liens, claims and encumbrances of any kind, other than (i) transfer restrictions hereunder and under the other agreements contemplated hereby, (ii) transfer restrictions under federal and state securities laws, and (iii) liens, claims or encumbrances imposed due to the actions of the Purchaser.

D.Governmental Consents. No permit, consent, approval or authorization of, or declaration to or filing with, any governmental authority is required in connection with the execution, delivery and performance by the Company of this Agreement or the consummation by the Company of any other transactions contemplated hereby.

E.Regulation D Qualification. Neither the Company nor, to its knowledge, any of its affiliates, members, officers, directors or beneficial shareholders of 20% or more of its outstanding securities, has experienced a disqualifying event as enumerated pursuant to Rule 506(d) of Regulation D under the Securities Act of 1933, as amended (the “Securities Act”).

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Section 3.Representations and Warranties of the Purchaser. As a material inducement to the Company to enter into this Agreement and issue and sell the Private Placement Shares to the Purchaser, the Purchaser hereby represents and warrants to the Company (which representations and warranties shall survive each Closing Date) that:

A.Organization and Requisite Authority. The Purchaser possesses all requisite power and authority necessary to carry out the transactions contemplated by this Agreement.

B.Authorization; No Breach.

(i)This Agreement constitutes a valid and binding obligation of the Purchaser, enforceable in accordance with its terms, subject to bankruptcy, insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating to or affecting creditors’ rights and to general equitable principles (whether considered in a proceeding in equity or law).

(ii)The execution and delivery by the Purchaser of this Agreement and the fulfillment of and compliance with the terms hereof by the Purchaser does not and shall not as of each Closing Date conflict with or result in a breach by the Purchaser of the terms, conditions or provisions of any agreement, instrument, order, judgment or decree to which the Purchaser is subject.

C.Lock-Up; Transfer Restrictions.

(i)The Purchaser agrees that it shall not Transfer any Private Placement Shares until 30 days after the completion of an initial Business Combination.

(ii)Notwithstanding the provisions set forth in Sections 3.C(i) above, Transfers of the Private Placement Shares that are held by the Purchaser or any of their permitted transferees (that have complied with this paragraph 3.C(ii)), are permitted (a) to the Company’s or the Purchaser’s officers or directors, any affiliate or family member of any of the Company’s or the Purchaser’s officers or directors, any members or partners of the Purchaser or any affiliates of such members and funds and accounts advised by such members, any affiliates of the Purchaser, or any employees of such affiliates; (b) in the case of an individual, by gift to a member of one of the individual’s immediate family, any estate planning vehicle or to a trust, the beneficiary of which is a member of the individual’s immediate family, an affiliate of such person or to a charitable organization; (c) in the case of an individual, by virtue of laws of descent and distribution upon death of the individual; (d) in the case of an individual, pursuant to a qualified domestic relations order; (e) by private sales or transfers made in connection with the consummation of a Business Combination at prices no greater than the price at which the Private Placement Shares, as applicable, were originally purchased; (f) by virtue of the laws of the Cayman Islands or the Purchaser’s organizational documents upon liquidation or dissolution of the Purchaser; (g) to the Company for no value for cancellation in connection with the consummation of an initial Business Combination, or (h) in the event of completion of a liquidation, merger, share exchange or other similar transaction which results in all of the Company’s Public Shareholders having the right to exchange their Ordinary Shares for cash, securities or other property subsequent to the completion of an initial Business Combination; provided, however, that in the case of clauses (a) through (g) these permitted transferees must enter into a written agreement agreeing to be bound by these transfer restrictions.

D.Failure to Consummate a Business Combination. The Purchaser acknowledges that it has no right, title, interest or claim of any kind in or to any monies held in the Trust Account or any other asset of the Company as a result of any liquidation of the Company with respect to any Private Placement Shares held by it, him or her. The Purchaser further waives, with respect to any Private Placement Shares held by it, if any, any redemption rights it may have in connection with a shareholder vote to approve an amendment to the Charter (A) to modify the substance or timing of the Company’s obligation to allow redemption in connection with its initial Business Combination or to redeem 100% of the Offering Shares if the Company has not consummated a Business Combination within 15 months from the closing of the Public Offering (or up to 21 months from the closing of the Public Offering if the Company extends the period of time to consummate a Business Combination in accordance with the Charter) or (B) with respect to any other material provisions relating to shareholders’ rights or pre-initial Business Combination activity (although the Purchaser shall be entitled to redemption and liquidation rights with respect to any Offering Shares it holds if the Company fails to consummate a Business Combination within the time period set forth in the Charter).

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E. Investment Representations.

(i)The Purchaser is acquiring the Private Placement Shares for the Purchaser’s own account, for investment purposes only and not with a view towards, or for resale in connection with, any public sale or distribution thereof.

(ii)The ultimate parent of the Purchaser is an “accredited investor” as such term is defined in Rule 501(a)(3) of Regulation D, and the ultimate parent of the Purchaser has not experienced a disqualifying event as enumerated pursuant to Rule 506(d) of Regulation D under the Securities Act.

(iii)The Purchaser understands that the Private Placement Shares are being offered and will be sold to it in reliance on specific exemptions from the registration requirements of the United States federal and state securities laws and that the Company is relying upon the truth and accuracy of, and the Purchaser’s compliance with, the representations and warranties of the Purchaser set forth herein in order to determine the availability of such exemptions and the eligibility of the Purchaser to acquire such Private Placement Shares.

(iv)The Purchaser did not decide to enter into this Agreement as a result of any general solicitation or general advertising within the meaning of Rule 502(c) of Regulation D under the Securities Act.

(v)The Purchaser has been furnished with all materials relating to the business, finances and operations of the Company and materials relating to the offer and sale of the Private Placement Shares which have been requested by the Purchaser. The Purchaser has been afforded the opportunity to ask questions of the executive officers and directors of the Company. The Purchaser understands that its investment in the Private Placement Shares involves a high degree of risk and it has sought such accounting, legal and tax advice as it has considered necessary to make an informed investment decision with respect to the acquisition of the Private Placement Shares.

(vi)The Purchaser understands that no United States federal or state agency or any other government or governmental agency has passed on or made any recommendation or endorsement of the Private Placement Shares or the fairness or suitability of the investment in the Private Placement Shares by the Purchaser nor have such authorities passed upon or endorsed the merits of the offering of the Private Placement Shares.

(vii)The Purchaser understands that: (a) the Private Placement Shares have not been and are not being registered under the Securities Act or any state securities laws, and may not be offered for sale, sold, assigned or transferred unless (1) subsequently registered thereunder or (2) sold in reliance on an exemption therefrom; and (b) except as specifically set forth in the Registration Rights Agreement, neither the Company nor any other person is under any obligation to register the Private Placement Shares under the Securities Act or any state securities laws or to comply with the terms and conditions of any exemption thereunder. While the Purchaser understands that Rule 144 is not available for the resale of securities initially issued by shell companies (other than business combination related shell companies) or issuers that have been at any time previously a shell company, the Purchaser understands that Rule 144 includes an exception to this prohibition if the following conditions are met: (i) the issuer of the securities that was formerly a shell company has ceased to be a shell company; (ii) the issuer of the securities is subject to the reporting requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, as amended (the “Exchange Act”); (iii) the issuer of the securities has filed all Exchange Act reports and material required to be filed, as applicable, during the 12 months preceding such resale (or such shorter period that the issuer was required to file such reports and materials), other than Form 8-K reports; and (iv) at least one year has elapsed from the time that the issuer filed current Form 10 type information with the SEC reflecting its status as an entity that is not a shell company.

(viii)The Purchaser has such knowledge and experience in financial and business matters, knows of the high degree of risk associated with investments in the securities of companies in the development stage such as the Company, is capable of evaluating the merits and risks of an investment in the Private Placement Shares and is able to bear the economic risk of an investment in the Private Placement Shares in the amount contemplated hereunder for an indefinite period of time. The Purchaser has adequate means of providing for its current financial needs and contingencies and will have no current or anticipated future needs for liquidity which would be jeopardized by the investment in the Private Placement Shares. The Purchaser can afford a complete loss of its investment in the Private Placement Shares.

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(ix) The Purchaser understands that the Private Placement Shares shall bear the following legend:

“THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY STATE SECURITIES LAWS, AND MAY NOT BE OFFERED, SOLD, TRANSFERRED OR OTHERWISE DISPOSED OF UNLESS REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, AND ANY APPLICABLE STATE SECURITIES LAWS OR AN EXEMPTION FROM REGISTRATION IS AVAILABLE. IN ADDITION, SUBJECT TO ANY ADDITIONAL LIMITATIONS ON TRANSFER DESCRIBED IN THE SHARES PURCHASE AGREEMENT BY AND BETWEEN ALCHEMY INVESTMENTS ACQUISITION CORP 1 (THE “COMPANY”) AND CANTOR FITZGERALD & CO., THE SECURITIES REPRESENTED BY THIS CERTIFICATE MAY NOT BE SOLD OR TRANSFERRED PRIOR TO THE DATE THAT IS THIRTY (30) DAYS AFTER THE DATE UPON WHICH THE COMPANY COMPLETES ITS INITIAL BUSINESS COMBINATION (AS DEFINED IN SECTION 1.1 OF THE REGISTRATION RIGHTS AGREEMENT BY AND AMONG THE COMPANY, THE SPONSOR AND THE OTHER PARTIES THERETO) EXCEPT TO A PERMITTED TRANSFEREE (AS DEFINED IN SECTION 1.1 OF THE REGISTRATION RIGHTS AGREEMENT) WHO AGREES IN WRITING WITH THE COMPANY TO BE SUBJECT TO SUCH TRANSFER PROVISIONS.

SECURITIES EVIDENCED BY THIS CERTIFICATE SHALL BE ENTITLED TO REGISTRATION RIGHTS UNDER A REGISTRATION RIGHTS AGREEMENT TO BE EXECUTED BY THE COMPANY.”

Section 4.Conditions of the Purchaser’s Obligations. The obligation of the Purchaser to purchase and pay for the Private Placement Shares is subject to the fulfillment, on or before each Closing Date, of each of the following conditions:

A.Representations and Warranties. The representations and warranties of the Company contained in Section 2 shall be true and correct at and as of such Closing Date as though then made.

B.Performance. The Company shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that are required to be performed or complied with by it on or before such Closing Date.

C.No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered, promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement.

D.Ancillary Agreement. The Company shall have entered into the Registration Rights Agreement.

Section 5.Conditions of the Company’s Obligations. The obligations of the Company to the Purchaser under this Agreement are subject to the fulfillment, on or before each Closing Date, of each of the following conditions:

A.Representations and Warranties. The representations and warranties of the Purchaser contained in Section 3 shall be true and correct at and as of such Closing Date as though then made.

B.Performance. The Purchaser shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that are required to be performed or complied with by the Purchaser on or before such Closing Date.

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C. Corporate Consents. The Company shall have obtained the consent of its Board of Directors authorizing the execution, delivery and performance of this Agreement and the issuance and sale of the Private Placement Shares hereunder.

D.No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered, promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement.

Section 6.Termination. This Agreement may be terminated at any time after June 30, 2023 upon the election by either the Company or the Purchaser upon written notice to the other party if the closing of the Public Offering does not occur prior to such date.

Section 7.Survival of Representations and Warranties. All of the representations and warranties contained herein shall survive each Closing Date.

Section 8.Miscellaneous.

A.Definitions. As used herein, (i) “Business Combination” shall mean a merger, share exchange, asset acquisition, share purchase, reorganization or similar business combination, involving the Company and one or more businesses; (ii) “Charter” shall mean the Company’s second amended and restated memorandum and articles of association (as it may be amended from time to time); (iii) “Trust Account” shall mean the trust account into which a portion of the net proceeds of the Public Offering, among other proceeds, shall be deposited; (iv) “Offering Shares” shall mean Ordinary Shares sold as part of the Public Offering; (v) “Public Shareholders” shall mean the holders of securities issued in the Public Offering; and (v) “Transfer” shall mean the (a) sale of, offer to sell, contract or agreement to sell, hypothecate, pledge, grant of any option to purchase or otherwise dispose of or agreement to dispose of, directly or indirectly, or establishment or increase of a put equivalent position or liquidation with respect to or decrease of a call equivalent position within the meaning of Section 16 of the Securities Exchange Act of 1934, as amended, and the rules and regulations of the Commission promulgated thereunder with respect to, any security, (b) entry into any swap or other arrangement that transfers to another, in whole or in part, any of the economic consequences of ownership of any security, whether any such transaction is to be settled by delivery of such securities, in cash or otherwise, or (c) public announcement of any intention to effect any transaction specified in clause (a) or (b).

B.Successors and Assigns. Except as otherwise expressly provided herein, all covenants and agreements contained in this Agreement by or on behalf of any of the parties hereto shall bind and inure to the benefit of the respective successors of the parties hereto whether so expressed or not. Notwithstanding the foregoing or anything to the contrary herein, the parties may not assign this Agreement, other than assignments by the Purchaser to affiliates thereof (including, without limitation one or more of its members).

C.Severability. Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid under applicable law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision shall be ineffective only to the extent of such prohibition or invalidity, without invalidating the remainder of this Agreement.

D.Counterparts. This Agreement may be executed simultaneously in two or more counterparts, none of which need contain the signatures of more than one party, but all such counterparts taken together shall constitute one and the same agreement.

E.Descriptive Headings; Interpretation. The descriptive headings of this Agreement are inserted for convenience only and do not constitute a substantive part of this Agreement. The use of the word “including” in this Agreement shall be by way of example rather than by limitation.

F.Governing Law. This Agreement shall be deemed to be a contract made under the laws of the State of New York and for all purposes shall be construed in accordance with the internal laws of the State of New York.

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G. Amendments. This Agreement may not be amended, modified or waived as to any particular provision, except by a written instrument executed by all parties hereto.

[Signature Page Follows]

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IN WITNESS WHEREOF, the parties hereto have executed this Agreement to be effective as of the date first set forth above.

COMPANY:
ALCHEMY INVESTMENTS ACQUISITION CORP 1
By:	/s/ Mattia Tomba
	Name: Mattia Tomba
	Title: Co-Chief Executive Officer
PURCHASER:
CANTOR FITZGERALD & CO.
By:	/s/ Sage Kelly
	Name: Sage Kelly
	Title: Senior Managing Director

[Signature Page to Private Placement Shares Purchase Agreement]