N.Y. Comp. Codes R. & Regs. tit. 6, § 651.75
(b) Any such contract may include such provisions as may be agreed upon by the parties thereto, and shall include, in substance, the following provisions:
(4) An agreement by the municipality
(c) A provision that, in the event that Federal assistance which was not included in the calculation of the capital cost becomes available to the municipality, the amount of the State payment shall be recalculated by deducting the amount of such Federal assistance from the eligible capital cost, and adjustment shall be made either