General Discussion

but that doesn't account for the blow back - and the shame of intra-force betrayal (with betrayal actually being far too mild - murder more like) - once the dirt and murderous intent is revealed. Again - you got people up and down the chain of command backing you on this murderous action? Or pretend like that doesn't matter?

It would be much, much easier (and make a heck of a lot more sense) to just eliminate Prygozin himself.
(which probably isn't actually too far into the future)