@Jan2, if helps at all, did you test to get 4G settings automatically on your phone by dialing *100#?
EDIT: Please download recent database of provider-specific settings: mobile-broadband-provider-info_20221107-1_all.deb.
cd Downloads
ls -l
sudo dpkg --install mobile-broadband-provider-info_20221107-1_all.deb
apt list mobile-broadband-provider-info -a
sudo systemctl reboot
Now, let us know if your Librem 5 connects to the Internet over your provider mobile data.