“Dismissal,” I would think. Just as bad as a Dishonorable Discharge but being the VP’s son that wont matter much... unless his law firm doesn’t want him.
If I was the head lawyer of that firm, I’d jettison the scumbag.
I’m not military. . .the sound of dishonorably discharged sounds worse than discharged. Clients of the law firm (especially military) should demand they fire him as in yesterday.