On petition, duly signed and acknowledged, of the owners of 50% or
more of the area requesting amendment, change or modification of the
regulations, including to the Zoning Map, the Town Board shall hold
a public hearing on such proposal in the manner set forth in this
article. Each petition for a zoning amendment shall be accompanied
by a fee in accordance with the Standard Schedule of Fees of the Town
of Tuxedo as may be adopted from time to time by the Town Board.