Ok, I got it working!
I should have read @savaju post
I was able to connect to mobile data using the following solution:
By simply disabling the SIM Card PIN, I’m able to have a (stable, hope so) mobile data connection.
It’s not 5G, but something like LTE speed (120Mbps/15Mbps).
My provider is Salt in Switzerland (salt.ch). I think it belongs to the same owner as Free.fr