The smart thing to do is to start scheduling briefings, appointments, classes, anything and everything that ties up your time and removes you from the unit. Everything that helps you get away, everything that reminds your unit that you are very very VERY fucking temporary, that you are leaving soon, that you are vanishing.
The guys before you that got out? Yeah, slowly they were around less and less, as more appointments piled up, as their duties took them elsewhere. It was like they were fading away, disappearing, becoming ghosts of Deployment Fuckin' Past. When they were gone, you didn't even know. They were Kaizer Soze. You didn't even NOTICE that they weren't around because it was so gradual, and then one day it hits you, holy shit, Johnson isn't around anymore, he is gone for GOOD, gone but fuckin' GONE, GOOOOOOOOONE, waaaaaaay past upper-deck. It was like he was never even there in the first place. Shit, maybe you just made him up. No telling now.
And that's how you have to be. You don't brag or gloat or laugh too loud about it, you just start taking advantage of every opportunity they give you, every class, every job fair, every seminar about resume building, you take it like the greedy mosquito bastard that you are and you fucking suck it DRY and you thirst for MORE.
You let the entire IDEA of your re-enlistment become a joke, something for people to laugh at in a wicked sense of irony. But most importantly, you remain subtle, you remain respectful, you remain tactful, you do what is expected of you, you have your appointment slips ready, and you use the system that's put in place for you, and you never never EVER bite the hand that is feeding you because by now, you have only the SLIGHTEST inkling of how hard the Army can fuck you if you get cheeky.
You play by the rules and you utilize everything you can, and every day, you become more and more translucent, like a dead Jedi, until the unit is so weened off of you that no one notices you're gone until your hair is already past your ears and you've got the first goatee of your life.