UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

WASHINGTON, D.C. 20549

SCHEDULE 14A

Proxy Statement Pursuant to Section 14(a) of the

Securities Exchange Act of 1934

(Amendment No. )

Filed by the Registrant ☒

Filed by a Party other than the Registrant ☐

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☐ Preliminary Proxy Statement

☐ Confidential, for Use of the Commission Only (as permitted by Rule 14a-6(e)(2))

☐ Definitive Proxy Statement

☒ Definitive Additional Materials

☐ Soliciting Material Pursuant to §240.14a-12

Nuveen New York AMT-Free Quality Municipal Income Fund

(Exact Name of Registrant as Specified in its Charter)

(Name of Person(s) Filing Proxy Statement, if other than the Registrant)

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☐ Fee paid previously with preliminary materials.

☐ Fee computed on table below per Exchange Act Rules 14a-6(i)(1) and 0-11.

NUVEEN MUNICIPAL NEW YORK INCOME AMT-FREE FUND QUALITY (NRK) Protect your investment your fund, . and At the upcoming annual meeting, activist investor ANNUAL MEETING: Karpus Management, Inc. (“Karpus”) is attempting to August 15, 2024 fire Nuveen as Fund manager and oust your qualified 11:30 AM Central Time Trustees to install their own hand-picked nominees. Karpus’ actions would disrupt the strong momentum HOW TO VOTE: your Board and management team has achieved and force NRK’s future into an uncertain situation. Your Board unanimously recommends voting on the white proxy card: +100% 9.29% For the Board’s three 1-YEAR DISTRIBUTION ENHANCEMENT 1-YEAR RETURN ON MARKET PRICE S&P Municipal Bond NY Index: 2.70% qualified nominees AS OF MAY 31, 2024 JOANNE T. MEDERO LOREN M. STARR MATTHEW THORNTON III With a track record of positive performance and X Against the proposal to consistent, recently enhanced distributions, your Fund terminate the Fund’s is positioned to continue succeeding for you. investment advisory agreement Safeguard your Fund and make your voice heard by voting FOR your qualified board nominees on the WHITE proxy card. DO NOT SIGN OR RETURN ANY CARD SENT TO YOU BY KARPUS, EVEN TO VOTE “AGAINST” OR TO “WITHHOLD” WITH RESPECT TO ITS PROPOSALS. VOTE TODAY, PROTECT YOUR FUND AND YOUR FINANCIAL FUTURE. VOTE ONLINE TODAY VOTE BY PHONE TODAY VOTE BY MAIL TODAY Using the website provided on By calling the toll-free number By completing and returning your WHITE proxy card and on your WHITE proxy card and your WHITE proxy card in the following the simple instructions following the simple instructions postage page envelope provided If you have any questions about the proposals to be voted upon, please feel free to contact Computershare Fund Services toll free at (866) 679-3234. 33976- P11235-1