First, congratulations on finishing a game jam game! That is a significant accomplishment in and of itself.
This is an interesting puzzle game. It's rather difficult, and I have yet to successfully solve it. You may want to consider offering variable difficulty. Additionally, I am disappointed when I just fail, and I don't get to see what the correct solution was. Seeing the solution is helpful in me understanding what errors I made, which could help me improve in the future.
A mathematician may have opinions on whether every game is solvable according to the mechanics you created and whether a unique solution can be determined. You may want to explore yourself proofs to justify that the puzzle is solvable, if you have not already done so.
This feels like a minesweeper-esque game, and I think the core ideas are very good. The visuals are good enough given the time you had, though you could definitely get prettier in the future. I myself am not that into puzzle games, but I think this game has very good ideas.