Fresh Peach Pie with Lattice Crust

Name: Fresh Peach Pie with Lattice Crust
Prep time: 35 min
Cook time: 55 min
Total time: 1 h 30 min
Cuisine: American
Ingredients: 2 1/2 cups all-purpose flour; 1 teaspoon salt; 1 tablespoon granulated sugar; 1 cup unsalted butter (cold and cubed); 4 –6 tablespoons ice water; 5 –6 large ripe peaches (peeled, pitted, and sliced, about 6 cups); 3/4 cup granulated sugar; 2 tablespoons cornstarch; 1 teaspoon ground cinnamon; 1/2 teaspoon ground nutmeg (optional); 1 teaspoon vanilla extract; 1 tablespoon fresh lemon juice; 1 tablespoon unsalted butter (cut into small pieces); 1 large egg (beaten); 1 tablespoon water; 1 tablespoon coarse sugar (optional)