After updating the domain associated with the license, you will have to revalidate your theme installation.
Please following these steps:
#1. Update the domain attached to the license in your licenses page:
You can do this by clicking on the pencil icon under Production or Staging and adding the URL of the new site.
#2. Revalidate the new domain
You can do this by going to the Wordpress admin of the site then navigate to X > Validation then place the license in the license field.
By following the steps above, you should be able to validate the new site using the license that you have.
In case you are still not able to get it validated, please provide us with the admin access to your site in a Secure Note:
Hope this helps.