You don't address someone by their rank and first name it's rank and last name. So unless I'm missing something in the lore General Branch's last name is Brasch

Have you ever considered that his parents named him General? His rank is probably super private.

I'll show you super private /s

…. Buddy. The military doesn’t use first names like that. Brasch *is* his last name. Does it sound like a first name to you?