Moving library path

I'm going to move my library from HDD to SSD, and their label is different.

Currently my path is

/media/4TB/immich/

/media/4TB/immich/

and the new one will be

/media/STORAGE/immich/

/media/STORAGE/immich/

.

What's the process so everything keeps working?
Would it be a matter of updating file paths in the db?
What would be the right command to do so?

Moving library path - Immich