FIDO U2F auth doesn’t work with GNOME root dialog

[proninyaroslav]

OS: Fedora Linux 37. I followed this instructions to set up FIDO U2F auth: https://docs.nitrokey.com/fido2/linux/desktop-login.
Since Fedora does'n have a /etc/pam.d/common-auth file, I added the auth sufficient pam_u2f.so ... entry to the following files:
/etc/pam.d/sudo
/etc/pam.d/gdm-password
/etc/pam.d/login
It works perfectly with sudo in terminal and GDM login screen, but it doesn't work if I, for example, run GParted or Disk Utility and it prompts me to enter a user password instead of touching the Nitrokey 3A NFC:

In theory, the /etc/pam.d/gdm-password file should be responsible for this, but my case it only works with the login screen. What could be the reason?

/etc/pam.d/nitrokey-sufficient:

#Nitrokey FIDO2 config
#%PAM-1.0
auth    sufficient pam_u2f.so authfile=/etc/Nitrokey/u2f_keys cue prompt nouserok

/etc/pam.d/gdm-password:

auth        include       nitrokey-sufficient
auth     [success=done ignore=ignore default=bad] pam_selinux_permit.so
auth        substack      password-auth
auth        optional      pam_gnome_keyring.so
auth        include       postlogin

account     required      pam_nologin.so
account     include       password-auth

password    substack       password-auth
-password   optional       pam_gnome_keyring.so use_authtok

session     required      pam_selinux.so close
session     required      pam_loginuid.so
session     optional      pam_console.so
session     required      pam_selinux.so open
session     optional      pam_keyinit.so force revoke
session     required      pam_namespace.so
session     include       password-auth
session     optional      pam_gnome_keyring.so auto_start
session     include       postlogin

[proninyaroslav]

The solution is to add auth include nitrokey-sufficient to the /etc/pam.d/system-auth and /etc/pam.d/password-auth files.