N.Y. Mil. Law § 130.72-B
The appellate review of records of trial provided by this chapter, the proceedings, findings, and sentences of courts-martial as approved, reviewed, or affirmed as required by this chapter, and all dismissals and discharges carried into execution under sentences by courts-martial following approval, review, or affirmation as required by this chapter, are final and conclusive. Orders publishing the proceedings of courts-martial and all action taken pursuant to those proceedings are binding upon all departments, courts, agencies, and officers of the state of New York subject only to action upon a petition for a new trial as provided in section 130.71 of this article and to action by the adjutant general as provided in section 130.72 of this article, and the authority of the governor.
N.Y. Mil. Law § 130.72-B