Timing in Burly's Plan

I kind of fudged it and we still had a good time with it all, but the timing in Burly's plan doesn't make sense. In the book it says that Burly will take the players to meet Mr. Witch and Mr. Light at the end of the Big Top Extravaganza after the talent show (or if the carnival's mood reaches either end). After they meet management and he pulls them aside, he suggests that they steal the Witchlight Watch during the Big Top Extravaganza when the two of them are apart. But the Extravaganza has already ended at that point? AND both of management is back together in their cart where they just met them?

I ended up just having them see management before going to the show and it worked out. But I guess this is something they missed? Are y'all seeing something that I'm not?