The appellate review of records of trial provided by this article, the proceedings, findings, and sentences of courts-martial as approved, reviewed, or affirmed as required by this article, and all dismissals and discharges carried into execution under sentences by courts-martial following approval, review, or affirmation as required by this article, 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 United States and the several states, subject only to action upon a petition for a new trial as provided in section seventy-three of this article and to action under section seventy-four of this article.