Remove logic checkpoint system

Goes kind of hand in hand with adding thresholds for the jigsaw puzzles instead of having to consume jiggies, although the checkpoints do check for more than just jiggies.

This system won't work for AP and honestly is a little flawed as is anyway as it could still technically lead to soft locks, so we should get rid of it.

The issue names no files, tests, or entry points; begin by locating the logic checkpoint implementation and tracing its checks beyond jiggies, including the jigsaw-puzzle interaction. Done means the checkpoint system is removed without retaining the stated soft-lock risk and without blocking AP support.

Written by the indexing model from the issue text.