While I totally appreciate a The Labyrinth reference, I'm afraid that this is a Fizzgig from The Dark Crystal.

Either that or a feral Lorax named Wilford Brimley.

Edit: Also this exists:

https://www.amazon.com/Labyrinth-Sir-Didymus-Costume-Pets/dp/B0C43Y61ZW

That's just animal abuse on some level. My dogs hate anything that makes them warmer. Hell, they only sleep with me for a little bit, and then choose the floor cause my average temperature is 100.5°F so cats love cuddling me, but I'm way too warm for dogs or most humans. Dogs don't sweat though so heat management is rather important for their survival, unlike us.