N.Y. Civil Practice Law & Rules § 9002 (2026)

Rule 9002. Death, disability or incapacity of judge following verdict,
report, decision, or determination of motion or special proceeding.
  The death, sickness, resignation, removal from or expiration of office
or other disability or legal incapacity of a judge following his
verdict, report, decision or determination of a motion or special
proceeding in any matter in a civil judicial proceeding shall not affect
its validity. Unless otherwise provided by rule of the chief
administrator of the courts, any other judge of the same court may, on
the application of a party, give effect to such verdict, report,
decision or determination and make and sign an appropriate order or
judgment based thereon, which shall have the same effect as if it had
been made by the judge upon whose verdict, report, decision or
determination it is based.