N.Y. Military Law § 130.69
(b)
(1) If a sentence extends to dismissal, or a dishonorable or bad-conduct discharge or any confinement and if the right of the accused to appellate review is not waived, and an appeal is not withdrawn under section 130.61 of this article, that part of the sentence extending to dismissal, or a dishonorable or bad-conduct discharge or any confinement may not be executed until there is a final judgment as to the legality of the proceedings (and with respect to dismissal, approval under subdivision (a) of this section). A judgment as to legality of the proceedings is final in such cases when review is completed by the board of military review with the approval of the adjutant general and: