N.Y. Vill. Law § 2-230

§ 2-230 New election. If the election is set aside as a result of a\nfinal determination in a proceeding instituted pursuant to section 2-224\nof this article, a new election shall be held. The right to such an\nelection shall be complete upon the filing of certified copies of such\nfinal determination with the town clerks of the towns in which any\nportion of such territory is located. Upon such filing such clerks shall\ngive notice of a new election. All the provisions of this article\nregulating the first election shall apply to a new election. Further new\nelections shall be held in like manner if any subsequent election is set\naside.\n