(a) a notice of claim shall have been made and served upon the authority within the time limit prescribed by and in compliance with section fifty-e of the general municipal law;

(b) it shall appear by and as an allegation in the complaint or moving papers that at least thirty days have elapsed since the service of such notice and that adjustment or payment thereof has been neglected or refused; and

(c) the action or special proceeding shall be commenced within one year and ninety days after the happening of the event upon which the claim is based. An action against the authority for wrongful death shall be commenced in accordance with the notice of claim and time limitation provisions of title eleven of article nine of this chapter. 2. Wherever a notice of claim is served upon the authority, it shall have the right to demand an examination of the claimant relative to the occurrence and extent of the injuries or damages for which a claim is made, in accordance with the provisions of section fifty-h of the general municipal law. The authority shall have power to settle or adjust all claims in favor of or against the authority. 3. Any action or proceeding to which the authority or the people of the state may be parties, in which any question arises as to the validity of this title, shall be preferred over all other civil causes of action or cases, except election causes of action or cases, in all courts of the state, and shall be heard and determined in preference to all other civil business pending therein except election causes, irrespective of position on the calendar. The same preference shall be granted upon application of the authority or its counsel in any action or proceeding questioning the validity of this title in which the authority may be allowed to intervene. The venue of any such action or proceeding shall be laid in the state supreme court of the county. 4. The rate of interest to be paid by the authority upon any judgment for which it is liable, other than a judgment against the authority on its bonds, shall be the rate prescribed by section five thousand four of the civil practice law and rules. Interest on payments of principal or interest on any bonds in default shall accrue at the rate or rates set forth in such bonds from the due date thereof until paid or otherwise satisfied.