You can count on getting a "Does Not Meet Medical Standard" from DODMERB - in other words, a disqualification that will require a waiver from the academy.
D131.90 History of hypothyroidism/uncontrolled by medication
D132.10 History of hyperthyroidism
DODMERB deals in black and white - you either meet or you don't meet.
Each individual academy has a degree of altitude where they can grant waivers for any disqualifying condition.
And no one can give you the odds or chances of that waiver.
My advice - don't let the chance of a DQ dissuade you from applying (in other words, don't "self-disqualify) - let THEM make that call.