ピーチパイ

Ingredients
Pie Crust:
2 1/4 cups all-purpose flour, plus more for bench and cutters
2 tablespoons sugar
1/4 teaspoon fine sea salt
2 sticks chilled unsalted butter, cut into 1/2-inch cubes
4 tablespoons ice water, plus more as needed

Filling:
10 ripe but firm peaches
1 lemon, juiced
1/2 teaspoon almond extract
2/3 cup all-purpose flour
1 cup sugar
1/2 teaspoon ground cinnamon
1/8 teaspoon or pinch ground nutmeg
1/2 teaspoon fine sea salt
3 tablespoons butter, cut into small pieces

1 egg