for less than 100 dollars you should be able to buy a noise proof door blanket....perfect for keeping noise down through that door.

I never used this one, i saw on amazon and thought since it was waterproof too it might be good https://www.amazon.com/Insulated-Reduction-Waterproof-Soundproof-Protection/dp/B09FXW96DH/ref=sr\_1\_11?crid=1DK54OF2J83MC&keywords=noise%2Bproof%2Bdoor&qid=1648177685&sprefix=noise%2Bproof%2B%2Caps%2C122&sr=8-11&th=1