You don't have to do all the puzzles yourself, you just have to be in an instance where they have done all the puzzles. If the whole fireteam got kicked, then that run would be done, and you'd have to start from the beginning. But as long as one person who has done all the puzzles up to that point remains, the rest can rejoin and get divinity so long as they remember to open the chest at the end.

Hello. Unfortunately nothing can be done but to run it again and hope that you don’t get disconnected through the run. You can either join a team that is at the boss and did all puzzles, or just rerun it from fresh.