So my theory that it's the White Whale may be partially correct. I couldn't have guessed that they would rebuild it with the Ma-non ship and have it be the White Whale 2 or that they'd leave Mira because of de-materialization, so my thought was that it was the original White Whale and the restored Earth was Mira, which means it's not fully correct but I like the way they handled it better. We know where the Conduit is, too.