I logged in on webEscargot on a public computer with incognito mode, now that I’m using Messenger from my laptop, it appears that I’m logged in two locations (despite it has been like 6 hours since I closed that incognito tab). I’ve tried clicking the button for signing out from that location, but it simply doesn’t work.
Probably just a server bug. Out of curiosity, have you tried signing in from the web again, just to see what happens? I wonder if you would get another location added, or if the prior session might get discarded.