Magician spearheaded the expedition, to the point where one of the others said they didn't know where she'd taken us until a couple investigators managed to flag them down. And that, I think, happened completely by accident.

Sometimes they're competing against each other, though the Grid was the most contentious case of that I've seen by a long shot. If Hanged Man and Chariot were competing in Nova Venezia, they were a lot calmer about it.