[ Oh, she appreciates that gentleman...li....ness...? So! She steps back a bit and gives him room. Also, have a grateful smile. ]

Thank you! I have lots of guesses actually! And this first one, I just thought of right now!

[ She peers over his shoulder. ] Why don't we enter some of the numbers that the kidnapped victims had when they woke up? The ones listed inside the other room? [ Her expression turns mildly serious. ] Maybe one of them is the password to open this door.