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Well, I don't know if it was supposed to be like this... I kept reviving the 1HP cat and using the warrior to destroy(?) the others. Is that it or I don't know how to play?

I assume that by destroying others you meant destroying enemies, if so, yeah!
The target of the game is to survive as long as you can by not letting enemies touch the Milkbag. When enemy touches Milkbag, you lose 1 life and that enemy destroys.
Or maybe you don't get the Rock-Paper-Scissors mechanic of flavours,
to destroy the enemy your cat must have the counter flavour of this enemy's flavour (all enemies dies from 1 touch if this condition is met).