pets and potions are cool, right? Why not combine them! In the pet shop you would be able to find the new pet potion bottle!
So basically pretty self explanatory. You could use this bottle to give potions to your pets. There would also be a pet potion infuser! Now, just know that
A. This would not be in your pet quests
B. Some potions would be unavailable to give your pets (exp. Leg potion)
Another thing; some potions would be altered for pets, here are some examples.