N.Y. Public Authorities Law § 2975
2.
4. The provisions of subdivisions two and three of this section shall not apply to any public benefit corporation which enters into a contract or agreement with the director of the budget which otherwise provides for cost recovery to the state and includes a provision that, in accordance with this subdivision, subdivisions two and three of this section shall not apply to such public benefit corporation. The circumstances for the entry into such contract or agreement may include, but shall not be limited to, the following: