@dodgealum
Glue and screw. No nails. Elastomeric glue - it never quite dries, always flexes, but very slightly. Chemlink makes good ones - I used 2 cartons of BuildSecure and 12 cartons of M1, IIRC.
Quietrock 545. I backed mine with 3/4" Baltic birch on the back and front walls. Another thing - ventilation. Although Chemlink stuff is really safe, your cabinetmaker might not be as careful, and the adhesives and finishes can off-gas for years. It took a year of airing out, for my room to be habitable with the windows closed. And paint - low VOC all the way, no other way. For a small room, consider high gloss paint - makes the room seem larger.
If you get really anal-retentive, you can connect and ground all the steel in all the Quietrock 545. Bare tinned 20 AWG is fine, you don’t expect much current.
Your dimensions may be critical. I built my whole room to 1/8" tolerances and results are spectacular. Do build in your bookshelves and record shelves. Don’t build in any significant cavities for a big turntable or whatever. I did, and it’s a mistake. Fortunately, a recoverable mistake.
And try to get time off to work with your contractor. Mine was a prince - whatever I wanted, he did. And you’d be amazed at what comes up when you’re putting up plywood.
Access. Conduit for all electrical. If you will ever have an air bearing turntable, now’s the time to put in conduit. If you will ever have a central power supply, now’s the time to put in conduit. Conduit, conduit, conduit.
Lighting. Some LED based lights produce EM interference. Detect and avoid. Better, use halogen or incandescent.
Good luck!