This is why Firefox containers are so useful. I have a Google container for exactly this reason.
Containers are similar to browser profiles, except that history, bookmarks, HSTS, saved passwords, and everything else apart from cookies and other persistent data are "containerlized".
There are addons that introduce the concept of "temporary containers", that delete all cookies when you quit that container.
Google Container makes sure that every connection to Google domains (including YouTube) use a Google-specific container. This is the case for recaptcha and other probes Google has.
https://addons.mozilla.org/en-US/firefox/addon/multi-account...
This just verifies my expectation that reviews giving the lowest score tend to be stupid.