Make the pie crust

1. Place flour, sugar, and salt in a food processor and mix 30 seconds.
2. Add cold butter pieces and blend 1 minute until sandy with small bits of butter.
3. Add iced water and blend 1 minute until the dough comes together with visible butter pieces.

Apple filling

1. Peel and chop the apples.
2. Place apples, lemon juice, sugar, cinnamon, and vanilla in a saucepan.
3. Cook over medium heat for about 10 minutes, stirring occasionally, until softened but not mushy.
4. Let the filling cool completely.

Assemble the pie

1. Roll the dough into 2 discs on a floured surface. Chill one disc while you work.
2. Line the pie dish with the first disc, letting it hang over the edges.
3. Fill with the cooled apple mixture.
4. Cut the second disc into strips for a lattice (or leave whole to cover the pie).
5. Trim, fold, and pinch the edges.
6. Freeze the assembled pie for 30 minutes.

Baking

1. Preheat oven to 392°F / 200°C.
2. Brush the top with egg and milk.
3. Lower oven to 350°F / 180°C and bake about 1 hour until golden.
4. Cool completely before refrigerating.