On one guitar I worked on, it was a guinea pig so to speak (nothing to lose), I learned how to take the back off. It needed a neck reset and a repair of a depressed fretboard extension too. It was worse than rough.
Back off helps immeasurably to get at all the braces !!

I cut a 1" particle board desktop piece to fit and clamp inside the body, to a full coverage base, to re-level the top whilst re-gluing he braces. Moisture + some heat helping along the way. The back goes back on pretty easy. Binding (if you have) will need a little care. Then on goes the bridge.
However you feel about risk, proceeding this way is a good experience for learning, and I'd bet you won't throw away your instrument if you're careful and patient.
Warning !! Heat and steam may affect some of the finish on the backside, so an additional work plan for finish will be required. I was fortunate enough that I was able to reuse the same binding ... lol . I did not expect that, but it worked out that way.
I will admit that I have not worked on a back that was not bound, and though I expect removal would be similar - patience , steam, heat, I may be all wrong if hide glue was not used in the process.
If others have removed an unbound back, not hide glue, I welcome your comments.