@mastereksz
Already replied to you here.
https://zentalk.asus.com/t5/others/set-password-to-complete-registration/m-p/405130#M9075
From your screenshot, it appears that you have clicked on 'Sign in or register with ASUS account,' not the Google account.
If you click on the Google account, it should redirect you to the Google login page.
If you still encounter issues, it is recommended to contact local customer support for assistance.
The following is the contact information:
https://www.asus.com/support/CallUs#
Sorry for any inconvenience it may be caused.
