If it were mine ... I'd make 'smart' cuts as needed to then allow it to be bolted back together the strongest that I could. Those supports from the floor angled up to the transom are called the 'knees' and I'd keep them affixed to the floor, as with that side flange, you can then bolt them back in place up top to the new transom.
Simple way, once you get the 'top cap' out of the way:
https://www.tinboats.net/threads/new-transom-for-tiny-tinny.43039/
Now this post here may be
overkill, but this is how I do replacement transoms and maybe it will give you some ideas.
https://www.tinboats.net/threads/new-transom-–-1976-starcraft-‘holiday-15’-model.47405/