Logged out in new tab with pleroma-fe?

I recently faced a ploblem that whenever I am using pleroma-fe, after I have logged in and trying to open some link (for example, Interactions) in a new tab, then I will be logged out in the new tab.

I checked the cookies, __cfduid is still there, but the fe just seems to ignore it. Mastodon-fe doesn't have this problem. Is this a bug or I have some misconfiguration?