Seeing what changes  NoCombatMusic made, I found this RedMod guide that describes another process of replacing/muting audio files. This method is much easier than before and more reliable.

Installation: Drag and drop mods folder into Cyberpunk2077 folder.
If you don't want Stealth or Combat music to be muted, go into the mods folder after and delete the folder that you don't want.
Make sure enable mods is checked when launching the game.
You may need cybercmd