Exhibit 32

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CERTIFICATIONS OF CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER

PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

Pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned officers of Texas Ventures Acquisition III Corp (the “Company”) hereby certify that, to their knowledge:

1. The Quarterly Report on Form 10-Q for the period ended September 30, 2025 (the “Report”) of the Company fully complies with the requirements of Section 13(a) or 15(d) 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 Company.

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Date: November 19, 2025	By:	/s/ Kevin McGurn
​	Name:	Kevin McGurn
​	Title:	Chief Executive Officer
		(Principal Executive Officer)
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Date: November 19, 2025	By:	/s/ Troy Rillo
​	Name:	Troy Rillo
​	Title:	Chief Financial Officer
		(Principal Financial and Accounting Officer)

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