01 - Preheat oven to 400°F. Line a 10x15-inch rimmed baking sheet with parchment paper or lightly grease.
02 - In a large bowl, combine flour, sugar, and salt for the crust. Cut in cold butter until coarse crumbs form. Gradually add ice water, just until dough comes together. Divide dough in two: one piece slightly larger than the other.
03 - Roll out the larger dough piece on a floured surface to fit the bottom and sides of your prepared pan. Gently lift into the pan and press evenly.
04 - In a large bowl, toss together sliced apples, both sugars, cinnamon, nutmeg, salt, cornstarch, and lemon juice. Pour evenly over crust.
05 - Roll out remaining dough to form the top crust. Place over apples. Trim excess, pinch edges to seal, and cut a few small slits for steam to escape.
06 - Whisk egg with milk and brush over the top crust. Sprinkle with coarse sugar if desired.
07 - Bake for 35–40 minutes, until the crust is golden and filling is bubbling.
08 - Allow to cool for at least 30 minutes before slicing into squares and serving.