N.Y. Comp. Codes R. & Regs. tit. 19, § 1204.13
(c) When more than one construction-permitting agency is involved in a particular construction project, such agencies may agree among themselves as to which agency shall act as the construction-permitting agency for the project. In the event of a dispute as to which agency shall act as construction-permitting agency, a decision shall be made based upon the following order of preference:
(3) the agency owning or with custody of the particular building or structure.
If the agencies involved are unable to agree, the Department of State shall be the final arbiter in determining which agency shall act as construction-permitting agency.