First off I get this was a game jam so take all my feedback with a grain of salt. The first thing I noticed was that the main character felt a bit floaty to me, and would probably feel a little better to play if they had a little more gravity to them. The other thing is that obviously it would be nice if there was a background and other environmental elements to tell a bit more of a story. I actually really dig the main character and it would be nice if there was more context on where we are.
So about the solution (or what I think the solution is) there could definitely be a bit more of an impact to figuring it out. What I think is the solution (quitting and playing again) leads to a blank screen so I am still not sure if this is the solution or a bug. If I am right, there should be some indicator that I did indeed figure out the way out (even just some text would be nice). If I am wrong, I honestly don't know what the solution could be. Another thing is that it would be nice if you lead the player to the solution a little more. Right now I felt like I was clicking random buttons until I found something that worked. Even just some cryptic riddles throughout the game would make me feel a sense of accomplishment when I eventually figure out what it is. I do like the idea that the only way to escape the game is to quit, but I just want a little more to feel satisfied with this answer.
Anyway like I said take this with a grain of salt. It is a huge accomplishment to complete a game in just a week and you should be proud of the work you have done. If you do decide to update this game later, I would be interested to see where it could go.