01 - Preheat oven to 400°F. Line a 10x15-inch rimmed baking sheet with parchment paper or lightly grease with butter.
02 - In a large bowl, whisk together flour, sugar, and salt. Cut in cold butter using a pastry cutter or fingertips until coarse crumbs form. Gradually drizzle in ice water, mixing just until dough holds together when pressed. Divide dough into two pieces, making one slightly larger than the other.
03 - On a lightly floured surface, roll out the larger dough portion into a rectangle large enough to fit the bottom and sides of your baking sheet. Carefully transfer dough to the pan, pressing gently into corners and up the sides.
04 - In a large bowl, combine sliced apples, granulated sugar, brown sugar, cinnamon, nutmeg, salt, cornstarch, and lemon juice. Toss until apples are evenly coated with the spice mixture.
05 - Spread apple mixture evenly over the bottom crust. Roll out remaining dough to match pan dimensions. Place over apples, trim excess dough from edges, and pinch top and bottom crusts together to seal. Cut 4-5 small slits in the top crust to allow steam to escape.
06 - Whisk together beaten egg and milk. Brush mixture evenly over the entire top crust using a pastry brush. Sprinkle with coarse sugar if desired for extra crunch and sweetness.
07 - Bake for 35-40 minutes until crust is deep golden brown and filling bubbles visibly through the vent slits. If edges brown too quickly, cover with foil for the last 10 minutes.
08 - Let pie cool in pan for at least 30 minutes before slicing. This allows filling to set for cleaner cuts. Serve warm or at room temperature.