Hi @_teresa ,
To be able to answer your query I need more clarity on the ask. Are you saying that the third party site doesn't have Analytics implemented on it? If yes, then you can track the data via exit links. For example, if I have two web sites like abc.com & test.com. We have Analytics implemented on abc.com but not in test.com. So, in this scenario, I will capture the data on the button or a link that is directing me from abc.com to test.com. You can also try using the Exit Link Redirects. For more information on Exit Link Redirects, you can also refer to the below documentation link.
Link: https://marketing.adobe.com/resources/help/en_US/whitepapers/redirects/
Also, please note if you need to use Exit Link Redirect then you will need to get in touch with the Client Care team to whitelist the destination domain.
Hope this helps.
Regards,
Abhinav