Could be who ends up with the key at the end doesn't matter that much to her.

[ The prize of all this was the key itself, not where it goes. Even so, it's a miserable thought, that he won't even get to translate the Raven King's words, and his shoulders sag as he carries out a staring contest with the ground. Not that Strange's words don't earn a sour laugh, albeit a quiet one. ]

Oh, now you're considering it, are you? [ It's only a good idea if he comes to the conclusion alone, apparently. ] Though I imagine it'd be for the best. I know Lambert had planned to do it for you but now it isn't even certain whether or not the Ringmaster will care to keep him on at all.