This classic Mario Pipe design hold pencils not Mario! It prints without support as the bridging in the middle is enough to hold and is not visible as it is at the bottom of the cup.
I don’t have a dog however, that is very funny. I never thought of the happening to a print. However, this is my first time printing it, and I forgot to add support around the room and then I realized I could flip it upside down so it was just a mess up top.