That's a great concept, you can never go wrong with a good escape room! Although I think I didn't feel the sense of a chase or rush as much as I would feel it if I were a spy escaping the ultra-secret lab. Adding timed choices would make me more relatable to the character.
I really liked the mechanic where you keep adding until you reach the given number; it made me feel like I was hacking the mechanical safe lock! Another thing you could look into to expand your game is to explore simple interactions that simulate certain processes related to your concept - spying, breaking in, or hacking.