Very great game!
You worked a lot on the atmosphere => background sound effects, refined UI, etc. And this is impressive for a jam entry.
Agreed about your limitation of "one window at once". This force to focus on the hints of the opened window and it's important.
According to theme, the ONLY ONE chance is brutal but it's interesting and give a lot a challenge.
I got free... but I cheated (I don't tell how to keep the surprise for the others). I really wanted to know where was my mistake. :p
Great job! :D