This article describes how to obtain a custom URL for a VT Google Workspace Google Site.
The only URLs that will work with a VT Google Workspace Google Site are subdomains of the tenant itself, e.g., X.vt.edu. To obtain a third-level domain name, it must be approved by Communications and Marketing. More info on how to make this request can be found at https://hostmaster.nis.vt.edu/faq/#13-how-do-i-get-a-new-3rd-level-domain.
If you have a third-level domain that you would like to use with a Google Site, please submit a 4Help ticket with the URL of the site you currently have and the requested third-level domain name URL change.