$hit or get off the pot.
To be honest, you're doing your fellow servicemen and women a dis-service by taking promotion with such a cynical viewpoint. Your heart will never be in the job and, believe it or not, it needs to be for the sake of your subordinates/peers (you don't mention your branch, nor the role this promotion would entail).
I hope your desk officer reads this, recognises you, and pulls the offer - not out of malice, just for your own good and that of your colleagues.