This is like one of those kickstarter disasters where they get $300K in funding and they can't implement even the most basic of features.
At first, I wasn't sure whether the constant changing of the game mechanics was a good idea. After all, a good puzzle game is all about learning the mechanics and having later puzzles build on skills learned earlier. But I think you struck a good balance of changing the mechanics in interesting ways while not changing them too much that it feels like a different game on each level. Changing the fast forward button to affect mice instead of the players is technically a completely different mechanic, but it's similar enough that you can transfer your existing understanding. So it still works. And it all makes sense within the game's thematic context.
I had a really hard time on last level. I was able to get past the first three mice, but then I kept dying to the fourth one. I thought maybe I was missing something, but turned out I just had to be a little more precise with my timing.
Overall, this game was funny, clever, and challenging. Great work!