N.Y. Real Property Tax Law § 730
1. The chief administrator of the courts shall establish a small claims assessment review program in the supreme court. An owner of real property claiming to be aggrieved by an assessment on real property on the ground that such assessment is unequal or excessive may file a petition for review pursuant to this article provided that:
(d) the petition shall not request an assessment lower than that requested in the complaint filed pursuant to section five hundred twenty-four or fourteen hundred eight of this chapter or the provisions of a local law or charter providing for administrative review of assessments. For the purpose of this section, the equalized value of the property shall equal the assessed value of the property divided by the most recent equalization rate or, in the case of a special assessing unit, the most recent class one ratio, when established. In the event there has been a material change in the level of assessment the special equalization rate shall be used to determine the equalized value of the property. An owner of real property who qualifies under paragraphs (a) through (d) of this subdivision shall also include: