Lightly beat 1 large egg, room temperature, in a small bowl just to blend, then brush over inside of crust (not the crimped edges) and continue to bake until crust is set and beginning to lightly brown in the center, 10–15 minutes. Do Ahead: Crust can be baked 1 day ahead; tightly wrap and store at room temperature. Lightly beat 1 large egg yolk, room temperature, and remaining 2 large eggs, room temperature, in a clean small bowl just to blend.