[TheNewPundit]

Your answer would be correct. And the UCMJ doesn’t have an appeal process to the USSC.

[Big_Monkey]

Not to split hairs, but the decisions by the Military Courts of Appeal are subject to review by SCOTUS. A writ of certiorari would be filed by defense counsel just like a civilian case.

[El Gato]

And the UCMJ doesn’t have an appeal process to the USSC

Yes it does, via the Court of Military Appeals, which is like a Federal Circuit Court for the Military.