The issue is that the BattlEye problem is intermittent. When you launch the game, Conan Exiles sandbox.exe or whatever interfaces with the BattlEye agent, and attempts to connect to BattlEye to do whatever querying or reporting that it needs to do. This is not something that we are able to solve. But, rather, is something that Funcom must address.
This has happened before (several others have posted this as a reference):
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So, if you are having the issue, and then you close down the client, and go jack around with your settings… because it is an intermittent issue - the things you think you did seem to have corrected the issue. When, in fact, Conan Exiles sandbox.exe finally picked a BattlEye port or IP address that is actually listening and responding.
Also - be aware that Zendesk Conan Exiles tickets are apparently auto-solving. So - if you open a Zendesk ticket seeking any kind of support whatsoever, your tickets are falling on deaf ears, and are making it directly to the circular file (trash can). You may have to select “Dune Awakening” in order to actually get any support. See this thread: