Double jiggy HUD in anchor coop during jiggy puzzle completion

When P1 and P2 both stand near a puzzle, the jiggy HUD appears once per player. When P2 completes the jiggy puzzle, a second, slightly offset jiggy HUD and count shows up for P1 until P2's cutscene completes. This is only noticeable if P1 continues to stand near the puzzle to make the first jiggy HUD stay up.

Reproduce the issue with two players standing near a puzzle, then have P2 complete it while P1 remains nearby. Trace the jiggy HUD creation and puzzle-completion or cutscene handling to find why P1 receives a second HUD, and verify that only one HUD and count remain visible throughout completion.

Written by the indexing model from the issue text.