(b) On or before November first, two thousand three and on or before November first of each year thereafter, the director of the budget shall determine the amount owed under this section by each public benefit corporation. The director of the budget may reduce, in whole or part, the amount of such assessment if the payment thereof would necessitate a state appropriation for the purpose, or would otherwise impose an extraordinary hardship upon the affected public benefit corporation. The aggregate amount assessed under this section in any given state fiscal year may not exceed sixty-five million dollars. 3. The state treasurer shall impose and collect such assessments, which shall be paid no later than March thirty-first following the imposition of the assessments, and pay the same into the state treasury to the credit of the general fund. 3-a. A direct portion of these funds shall be allocated to fund the authorities budget office established by section four of this chapter. 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:
(a) where such contract or agreement is for an amount which equals or exceeds the amount of the assessment provided by subdivision two of this section; or
(b) where the payment of all or a portion of the assessment provided by subdivision two of this section would necessitate, in the judgment of the director of the budget, an appropriation therefor by the state. 5. On or before June first, nineteen hundred ninety, and annually on or before June first, the director of the budget shall report to the respective chairpersons of the assembly ways and means committee and senate finance committee the amount of cost recovery obtained pursuant to this title and all contracts and agreements entered into pursuant to subdivision four of this section for the state fiscal year ending on the preceding March thirty-first.