That’s literally the option I was presented. Thankfully since, it’s a State government organization, I have “time”. But the more I reflect, and the more feedback I get here here, I may go this route.
Maybe wait until you get an actual offer somewhere else.
Just treat it like any other time you would leave any other role.
If you wouldn’t normally casually resign without an actual written offer to go somewhere else, don’t.
"Sign here that you are resigning"
"No thanks, you'll have to fire me if that's what you are trying to do"