I bought 2077 myself 2 days ago and am extremely disappointed that I can no longer turn off the music as I knew it from the old version I played.
The music makes the game unplayable for me.
YES I have the copyrighted music off.
YES I have the music slider set to 0.
I want to turn off the music from the SFX always and everywhere.
Or do I get older versions than the 1.12 in the GOG?

Maybe these help?

Mute the sound:
https://www.nexusmods.com/cyberpunk2077/mods/1272

Try if audio_NoCombat or audio_NoSoundFull works for you.

Mute the menu music (not exactly what you are looking for, but still):
https://www.nexusmods.com/cyberpunk2077/mods/2345

Thanks for the suggestion of the mods.
Unfortunately, the Mods do not turn off the Music in the world.
Radios, Clubs, Bars, or other there I would like to be able to turn off the Music again.

So I have the music off.
I organized files from the 1.11 in the circle of my acquaintances.
audio_1_general & audio_2_soundbanks
The game runs now 1 hour stable.