You might want to make clearer that “As long as the door is closed, information cannot leave the room” isn’t an assumption but a requirement of the setup. I.e. that you’re not assuming based on your description that opening the door is the only means for an operator to get information out; you’re assuming every other means of information escape has been systematically accounted for and ruled out (with the assumption that the operator has been compromised by the AI).
Just obvious and mundane concerns:
You might want to make clearer that “As long as the door is closed, information cannot leave the room” isn’t an assumption but a requirement of the setup. I.e. that you’re not assuming based on your description that opening the door is the only means for an operator to get information out; you’re assuming every other means of information escape has been systematically accounted for and ruled out (with the assumption that the operator has been compromised by the AI).