Your state of residence is your Home of Record (your SLR). Even if you are stationed in another state, you’re still considered a resident of your SLR state. In TurboTax, when going through Personal Info section, be sure to select that you a member of U.S. Armed Forces and select your SLR in the Tell us the state(s) you live in section. That is all you have to do.
If you had an additional job, a civilian job for example in the state you lived temporarily, you would select that state when you are asked Did you make money in another state? Otherwise, you don't select anything.