Hello,
Thanks for explaining your query in more detail.
If both sites are live, you’ll need to delete the old key from https://wpfactory.com/my-account/downloads/ and create a new key for site B. Then you should paste the key into the WPFactory Helper plugin. Then you will be able to receive automatic updates for that website.
If you have any other questions, then please let us know.
Kind regards,
Moshtafizur