Analyzify setup works independently from your domain. However, you still need to change some settings on your Google Analytics accounts.
We have a separate article on this matter: Referral Exclusions on Google Analytics (GA4 + UA). You should follow the tutorial with one slight difference in the GA4 section.
In the GA4 Data Stream settings; make sure to add your new domain into the "Configure your domains section".
As for Universal Analytics; you can just add your domain to the regular referral exclusion section.