That's a better solution than trying to get Ring to send messages to two email addresses, the client's and yours.
I guess we would then ignore that email address until our client called us to complain of a problem. We sure couldn't add such an address (per client) to the email addresses that notify us of email!
A good answer is easier with a clear question giving the make and model of everything. "The biggest problem in communication is the illusion that it has taken place." -- G. “Bernie” Shaw