Nice game! I got ending 4/5, I hope it's the best one. I'm glad that your pet doesn't die when you lose a battle, made me feel much more relaxed. Some points of criticism:
Sometimes you decide your own actions, and sometimes those of your pet (where does it hide etc). I feel like it would make more sense if you only control the owner, and the pet should form its personality based on on how we react to its actions (just my subjective opinion).
The text was sometimes hard to read (I think in the end there was white text on bright background).
In the beginning the button says "Skip", which makes me think it will skip the introduction and jump right to gameplay. But if I understand correctly it's just to advance to the next screen and is mandatory to press, so I would rather call it something like "advance" or "next".
All in all the game was very chill and cute, and I enjoyed playing it. Good job!