Section 1570 - Judicial review1. Any final determination of the amount of any tax payable under section fifteen hundred sixty-two of this article shall be reviewable for error, illegality or unconstitutionality or any other reason whatsoever by a proceeding under article seventy-eight of the civil practice law and rules if application therefor is made to the supreme court within four months after the giving of the notice of such final determination, provided, however, that any such proceeding under article seventy-eight of the civil practice law and rules shall not be instituted unless (a) the amount of any tax sought to be reviewed, with such interest and penalties thereon as may be provided for by local law shall be first deposited and there is filed an undertaking, issued by a surety company authorized to transact business in this state and approved by the state superintendent of financial services as to solvency and responsibility, in such amount as a justice of the supreme court shall approve to the effect that if such proceeding be dismissed or the tax confirmed the petitioner will pay all costs and charges which may accrue in the prosecution of such proceeding or (b) at the option of the petitioner, such undertaking may be in a sum sufficient to cover the taxes, interest and penalties stated in such determination, plus the costs and charges which may accrue against it in the prosecution of the proceeding, in which event the petitioner shall not be required to pay such taxes, interest or penalties as a condition precedent to the application.2. Where any tax imposed hereunder shall have been erroneously, illegally or unconstitutionally assessed or collected and application for the refund or revision thereof duly made to the proper fiscal officer or officers, and such officer or officers shall have made a determination denying such refund or revision, such determination shall be reviewable by a proceeding under article seventy-eight of the civil practice law and rules; provided, however, that (a) such proceeding is instituted within four months after the giving of the notice of such denial, (b) a final determination of tax due was not previously made, and (c) an undertaking is filed with the proper fiscal officer or officers in such amount and with such sureties as a justice of the supreme court shall approve to the effect that if such proceeding be dismissed or the tax confirmed, the petitioner will pay all costs and charges which may accrue in the prosecution of such proceeding.