> (Incidentally, and you lose the game if you cancel your Stadia subscription.)

That is a factually incorrect statement. You lose access to any games you claimed for free as a benefit of your Stadia Pro membership if you cancel your membership; you regain access to those games if you renew, but you will not gain access to games that were offered for free during any interval where you were not a subscriber.

You retain access to any game you paid for, _even_ if you paid a discounted rate as a result of being a Stadia Pro member, even if your subscription is canceled.