The cookie behavior depends on whether it is a first-party cookie, a third-party cookie with a first-party cookie, or a third-party cookie alone.
To check, use the browser developer tools, and look for the mboxXDomain param in the mbox network calls.
- If it says enabled, then you are using 1st and 3rd party cookies.
- If it's not there at all, then you are using 1st party cookies.
- If it says Disable, then you are using 3rd party cookies.