Floating walls and ceiling in our basement media room, and deleting ducts (a major source of sound transmission) for a minisplit unit for that room. Pictures of the room are in my signature. Have not read everything, but attached a PDF of the info I gave our builder to create our media room. I used Kinetics Noise Control IsoMax clips and the builder and drywallers really liked them, construction was similar enough to standard that it did not slow them down much. The diagram was an overview; I worked closely with them and they also talked with Kinetics as needed.
The door is a heavy solid-core exterior door with full seals to reduce sound transmission.
I also added a file with the (very busy!) diagrams I made more recently to align speakers and such when I added overheads for Atmos. That also shows the absorption panels I added on the walls and ceiling. The floor uses conventional but thicker padding under the carpet.
HTH - Don