[quote=@Zeroth]
[@Sigil]By my count, Kafka's Yuri, Sho's Sigurd, and Fox's Etzo were all in the building along with Cricket. I think Gowi's Sibela was heading towards it, but Bai Suzhen's Dia and Jester's Nadijah were at the Gerudo fortress instead fighting the Moblins.

GM said Oasis was just a stone's throw from the Pillar where the Knight was taken by Rath and the other Shiekah, but I don't know if it's also close to the Fortress or not. It would actually probably be more convenient if the Gerudo Fortress was on the way or inbetween the Pillar and Oasis, so that Rath's group and the Knight could come upon the battle just as the others from the HQ are entering it as well.
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The "stone's throw" descriptor was meant to indicate that they are relatively nearby, but Rath's group will still need to walk a bit to get to Oasis. And unfortunately, based on Hyrule's geography as presented in the game, Gerudo Fortress is on the edge of the Desert, almost as a sort of border crossing between Hyrule Field and the Desert proper. That sadly means that Rath's group is not closer to the action than those in Oasis at the moment.

My current intention is for Rath's group to show up right about when the Contingent is ready to leave. If you want the proximity of other Triforce Pieces to wake the Knight up at that time, then feel free to do so.