What a really cool concept. Makes me think of the RTS genre. But your game is a novel design when compared to a more traditional RTS. Something like how Pikmin is to say Starcraft. Although your game is obviously focused more on puzzles than combat strategy/tactics. (Well at least novel to me, I could easily be unaware of similar games) I think puzzles certainly fit the side-view 2D perspective you chose for the game. Better than combat or some other more involved challenge(s). Although that sounds like an interesting idea to explore.
I will say the controls were a little unwieldy at times. I was able to get to 2-1 before I failed to keep 6 cats. And went to try and pause the game. Pressing esc quits the game. Whoops. Back to the controls. Making long jumps felt decent. But trying to do smaller more micro management was finicky. I think I noticed I was having some difficulties because the camera would move with the cats. And therefore my mouse would move with the camera at the same offset from the cats. So when I would try to get them to jump or move to a specific spot. That spot would not be under my mouse after the camera moved. I think that is what appeared to be happening.
Really nice aesthetic. I had a good amount of fun. Keep up the good work.