Yes, you cannot reconnect without first identifying where it starts and where it ends, otherwise you’ll short turns, which would be bad. I think this is what you’re proposing but I’ll repeat the way I see things:
Identify the “middle” isolated, individual loops and then the ends that represent the start and end turns connected to the supply. The starting turn will be on one side of the break, the finishing turn must be on the opposite side. Move the start/end turns to the side.
Connect remaining isolated loops in series, order not important and you’ll be left with two tag ends that then connect to the start/end turns.
Don’t be afraid to separate the turns, peeling them away from the varnish dip and cutting lacing if you have to. Use short jumpers inside small heat-shrink. Difficulty depends upon where the break is, closer to the slots will increase your pain. In the middle of an end turn, well, that’s the best you can hope for.