No muzzles, no. Not a bad idea for an addition though.
If you’re trying to craft or sleep at your base and the sound notifications bother you, you could use earplugs.
If you’re concerned it will attract enemies when you go looting or exploring, don’t bring the dog without armor.
As a general rule, they don’t survive long. They still kinda don’t even with armor. Also, get dog whistle, and you can tell them to go passive so they don’t run into a mob. Unless you want a little meatshield, I guess.