Understand ADAMI vs SPEDIDAM
France has two neighbouring rights societies:
If you are the primary artist on your own recordings, ADAMI is the correct society.
Registering with the wrong society means your application will be redirected or declined. Featured artists belong with ADAMI — session musicians belong with SPEDIDAM.
Assuming you need both societies. Most recording artists need only one. Featured artists choose ADAMI; session/background performers choose SPEDIDAM.