Is it possible to make a mob that the Warden cannot see/hear? (2023.4, Forge, 1.20.1)

I want to try adding a neutral mob to the Deep Dark, but I wouldn't want it to awaken or be killed by the Warden. But maybe give it a projectile that makes a lot of sound, so it sends the Warden to attack you. Would this be possible, and if so, how?