This is a fun idea. Very Pipe Dreams, and the dialogue made me laugh. I got through stages 1 and 2, but stage 3 I had to bow out of haha. I like the idea, but my biggest problem with this is that there are no arrows on the right or bottom sides of the board. Having only top and left arrows doesn't make the game more strategic, it just makes it more annoying if I push a piece too far and have to cycle it all the way across the board again, so I think having arrows on all four sides would have really improved the experience.
The basic game has some legs to it, and maybe some other levels and puzzles with ramping difficulty would have kept my attention longer, but I saw that last stage, and just said "nope" lol
Good work on the presentation and ideas!