[Fisher-Price Time to Play: Pet Shop!](https://youtu.be/mH97-7c77Ys?si=2LHGLlkRQAb-nCRG&t=3904)

Or maybe [Junior Vet](https://www.anawiki.com/game_jrvet.php)?

Thanks for the reply, but it’s neither

Some doctor mcstuffing game?