Exhibit 32.1

Certification of Chief Executive Officer

Pursuant to 18 U.S.C. Section 1350,

As Adopted Pursuant to Section 906 of The Sarbanes-Oxley Act of 2002

I, Mike Winston, Chief Executive Officer of AI Infrastructure Acquisition Corp. (the “Company”), certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

(i)

The Quarterly Report on Form 10-Q of AI Infrastructure Acquisition Corp. for the period ended June 30, 2026 (the “Report”) fully complies with the requirements of Section 13(a) or Section 15(d), as applicable, of the Securities Exchange Act of 1934, and

(ii)

The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company at the dates and for the periods indicated.

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

Dated: August 14, 2026

/s/ Mike Winston
Mike Winston
Chief Executive Officer
(Principal Executive Officer)