The county, other municipalities within the county and the agency in carrying out their respective powers and duties under this title shall be deemed to be acting in a governmental capacity. The construction, operation and maintenance of any project financed in whole or in part by the agency, shall be deemed to be the performance of an essential governmental function by the agency acting in its governmental capacity, whether such project shall be owned or operated by the agency or by any person or other public corporation.
N.Y. Pub. Auth. Law § 2045-F