Since your walls aren't yet finished, there are a few things that are relatively easy to do right now while the framing is exposed. There are various construction techniques and materials that will help reduce sound transmission, both outside noise getting in and inside noise getting out. Which ones will work for you depends a lot on how things are laid out and where the noise is coming from/going to. The garage door I would think will be a major one. You will have to decide either replace it with a wall or seriously modify it to be more like a wall.
Also be sure to run your one dedicated line now before sheetrock. One line direct to wherever your system will be, another circuit for all other outlets and lights.
There's a lot of options. Some like 5/8" sheetrock and single dedicated line cost next to nothing but deliver big time. Others, well you can spend thousands and not hear more improvement from a $200 fuse. So don't sweat the room.