Clearing the table in the game SET® (Part 4)

(Edit: This is Part 4 of a sequence of posts. You can find other parts of the sequence here (Part 1, Part 2, Part 3).) My goal, throughout this series of posts, has been to explore the probability of having a perfect game of SET®, where a game is called perfect if it ends with no cards left on the table. In particular, I would