Do you access the music directly through a network share, or is it exposed through a web platform (ex: Plex, Jellyfin, etc)?
If the former then you could use the software through that network share, it should be able to handle those as if the file were local. For the later you may have to retrieve the files to modify their tags locally then reupload the modified version.
Also keep in mind that some platform like Plex will build its own metadata cache from the audio file metadata to speed up things, so you may have to run some process within that platform to tell it to reanalyze the modfified files.