The most ironic appointment Tuberville is blocking
The Major General Slot You Don't Know About is Chief of Chaplains of the United States Army. He does pretty much what it says on the can: he is the "supervisor" - chaplains can't be commanders, it's the rule - of every chaplain in the Army.
The last Chief of Chaplains was Chaplain (Major General) Thomas J. Solhjem, an Assemblies of God minister who was the first of his denomination to hold this exalted post. Chaplain Solhjem retired on June 20, 2023...right in the middle of Tommy Tuberville's Reign of Terror. Since then his deputy, Chaplain (Brigadier General) William Green Jr., has been the Acting Chief. Chaplain Green is a National Baptist minister, and the second one of his faith to be the top guy. (National Baptist Convention is the biggest Black Baptist denomination.)
The Navy and Air Force are, so far, safe in their chaplaincies: the Air Force Chief of Chaplains, Major General Randall Kitchens, was installed in 2021 and the Navy Chief of Chaplains, Rear Admiral Gregory Todd, was installed in 2022.