Exhibit 32.1

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER 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 Quarterly Report on Form 10-Q of Plum Acquisition Corp. III (the “Company”) for the period ended June 30, 2024, as filed with the Securities and Exchange Commission on the date hereof (the “Quarterly Report”), I, Kanishka Roy, Chief Executive Officer (Principal Executive Officer) of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

1.the Quarterly 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 Quarterly Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: October 4, 2024
	/s/ Kanishka Roy
	Kanishka Roy
	President and Chief Executive Officer
	(Principal Executive Officer)