EXHIBIT 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of Perception Capital Corp. III (the “Company”) on Form 10-K for the period ended December 31, 2023, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), we, Rick Gaenzle, the Chief Executive Officer of the Company, and John Stanfield, the Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. §1350, as added by §906 of the Sarbanes-Oxley Act of 2002, that to the best of our knowledge:

1. The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company as of and for the period covered by the Report.

Dated: April 16, 2024	/s/ Rick Gaenzle
	Rick Gaenzle Chief Executive Officer (Principal Executive Officer)
	/s/ John Stanfield
	John Stanfield Chief Financial Officer (Principal Financial Officer)