N.Y.C. Admin. Code § 5-373: § 5-373 How defects may be remedied.

The supreme court of the judicial district in which the real estate is situated shall have power at any time to correct any defect or informality in any of the special proceedings authorized by this subchapter as may be necessary, or to cause other property to be included therein, and to direct such further notices to be given to any party in interest, as it deems proper. If, in any particular, it shall, at any time, be found necessary to amend any pleading or proceeding, or supply any defect therein, arising in the course of any special proceeding authorized by this subchapter, the same may be amended or supplied in such manner as shall be directed by the supreme court, which is hereby authorized to make such amendment or correction.