Rewinding 120 film isn't quite as simple as you might think. Most likely you will end up with a bump where the tape attaches the film to the backing paper. To get it to feed smoothly again, you will need to pull up and then re-attach that tape.
The people who re-spool 120 film on to 620 spools for some older cameras have a lot of experience with this.
Glad you are finding joy.