Exhibit 32

CERTIFICATION PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the quarterly report on Form 10-Q of Third Point Private Capital Partners (the “Fund”) for the quarter ended March 31, 2026, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), Christopher W. Taylor, as President and Chief Executive Officer of the Fund and Jeffrey Liddle, as Chief Financial Officer and Treasurer of the Fund, each hereby certifies, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that, to such officer’s knowledge:

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

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Fund.

Date: May 15, 2026
	By:	/s/ Christopher W. Taylor
		Christopher W. Taylor
		President and Chief Executive Officer
		(Principal Executive Officer)

Date: May 15, 2026
	By:	/s/ Jeffrey Liddle
		Jeffrey Liddle
		Chief Financial Officer and Treasurer
		(Principal Financial Officer and Principal Accounting Officer)

*The foregoing certification is being furnished solely pursuant to 18 U.S.C. Section 1350 and is not being filed as part of the Quarterly Report or as a separate disclosure document.