The sauce needs to be properly reduced before the eggs go in — thick enough that a spoon leaves a channel — and that's the step people rush. Chef Emily made everyone wait, which felt slow and then obviously mattered, because a loose sauce means the eggs sink and poach unevenly. Making pita from scratch alongside is the other half, and watching them balloon in a hot dry pan is the moment everyone stopped to watch. They don't all puff, which she was honest about.
Cole