Can the Executive Branch divest an Article I military court of appeals of jurisdiction over an extraordinary writ brought under the All Writs Act, 28 U.S.C. § 1651(a), once jurisdiction has vested under the Uniform Code of Military Justice?

QUESTION PRESENTED Petitioner submitted a Petition for Extraordinary Relief in the Nature of a Writ of Mandamus to the Air Force Court of Criminal Appeals (AFCCA), seeking redress from the Government's ex post facto application of good conduct time confinement credits. The AFCCA determined it had jurisdiction to review the petition under the All Writs Act, 28 U.S.C. § 1651(a). In doing so, the AFCCA declined the Government’s request to dismiss due to the Secretary of the Air Force’s action to finalize the case, reasoning that the petition had been docketed and fully briefed prior to such finalization. The AFCCA subsequently denied the petition on its merits. Petitioner timely appealed the AFCCA’s decision to the Court of Appeals for the Armed Forces (CAAF), which possessed jurisdiction over all cases reviewed by the AFCCA. The CAAF then dismissed the writ-appeal for lack of jurisdiction. The Question Presented is: Can the Executive Branch divest an Article I military court of appeals of jurisdiction over an extraordinary writ brought under the All Writs Act, 28 U.S.C. § 1651(a), once jurisdiction has vested under the Uniform Code of Military Justice? i