Thanks for letting me know! I appreciate you going through it again.
Yep, it's intended for chill mode to continue the game even if the timer runs out (you just get 0 points). Stress mode will game over if it hits 0.
For the paper minigame the goal is to get it to one page. If you click on the "format" button, you can then click on "margin" and then "wide", as well as "font size" then "30". I was trying to represent a student desperately getting their paper to one page by changing the format to artificially increase the page size (instead of adding actual content).
However the paper minigame is the final minigame so I wouldn't worry about replaying it as you haven't missed out on any mini games after (only thing would be the winning end screen)!
I do know the UI in the game isn't the most responsive and obvious, so I definitely see how it can be unclear. It's something I'm hoping to improve on after the jam like making the buttons more obvious on hover (bolding the text etc).
I hope that clears things up. Thanks again for the feedback!