I would recommend replacing Google Authenticator with other open source 2FA apps like
Almost 5 years I have not used GA. I use Authy for the security of my account. I don't know if GA can be duplicated to other phones, but Authy can. You only need to remember the password with your email. I don't know this is a plus or a minus. Maybe if you lose your phone it will be easier to get backups.