Change State of Residence Before PCS?

Hello! I am active duty and currently stationed in WA. My home of record is in GA so, I pay state taxes to GA. I recently learned that I may be able to change my home of record (and state of residence) to WA, which would be advantageous because WA doesn't have state tax. However, I will be PCSing in a couple months to a foreign country. My question is, can I will change my HoR to WA even though I won't be living here much longer?

I just feel kind of dumb paying taxes to GA when I haven't lived there in over 5 years and have no plans on returning there, but I don't know if I can change it right before I move out of the country. I will be at my next duty station at least 3 years and it would be great not to have to worry about state tax!