1. Prepare the Crust:

• In a large bowl, mix the flour, sugar, and salt.
• Add chilled butter cubes and cut them into the flour until the mixture resembles coarse crumbs.
• Gradually add ice water, mixing until the dough comes together.
• Divide into two disks, wrap in plastic, and refrigerate for at least 30 minutes.

2. Make the Filling:

• Toss apple slices with lemon juice in a large bowl.
• Add granulated sugar, brown sugar, cinnamon, nutmeg, and cornstarch. Mix well to coat the apples evenly.

3. Roll Out the Dough:

• Roll out one dough disk on a floured surface into a 12-inch circle. Place it in a 9-inch pie pan, trimming any excess.
• Roll out the second disk for the top crust or cut it into strips for a lattice.

4. Assemble the Pie:

• Pour the apple filling into the crust-lined pan.
• Add the top crust, sealing the edges by crimping or pressing with a fork. If using a lattice crust, weave the strips over the filling.
• Brush the top crust with the egg wash for a golden finish.

5. Bake the Pie:

• Preheat the oven to 375°F (190°C). Place the pie on a baking sheet.
• Bake for 50–60 minutes or until the crust is golden and the filling bubbles. If the edges brown too quickly, cover them with foil.

6. Cool and Serve:

• Let the pie cool for at least 2 hours before slicing. Serve with whipped cream or a scoop of vanilla ice cream.