The Monty Hall Problem

This is a recreation of the classic Monty Hall Problem as a chess variant. Black has a strong advantage, but the variant is mostly a fun example of simulating a non-chess game.

This specific layout has been thoughtfully selected to automate the game's logic as smoothly as possible. With that said, I have not verified the layout with a computer, so if you find any workarounds to break the intended gameplay, please comment below. (Note: There is one line not found in the original puzzle where white reveals what is behind the door black had happened to select. However, black can sack a rook for their first move, removing this possibility.)

Credit to Steve Selvin for first proposing the underlying thought experiment in 1975.