The Monty Hall problem isn't real, its just a fake factoid like eating 5 spiders a year while you sleep or humans only using 10% of their brain. It just got memed into being considered true even by professional statisticians though it is obviously false. The myth became so widespread it made its way into mathematics textbooks and became mainstream in the academic community. Its the greatest mathematical hoax there's ever been.

Its obviously false though, you cannot alter the odds of one thing being behind one door by opening another door.