My point was that your listing of things that happened in the past omitted an important piece of it.
I actually don't agree that "the original problem clearly states it." Fully cognizent of the issues at hand, and with space for reflection entirely outside of the context of trying to solve the problem, I agree that it is clear that this is what the statement of the problem was trying to get at (particularly with the note that Monty knows which door has what) but it strictly does not say that that informs his choice (or how).
I actually don't agree that "the original problem clearly states it." Fully cognizent of the issues at hand, and with space for reflection entirely outside of the context of trying to solve the problem, I agree that it is clear that this is what the statement of the problem was trying to get at (particularly with the note that Monty knows which door has what) but it strictly does not say that that informs his choice (or how).