Apple Pie with Cheddar Cheese Crust

Name: Apple Pie with Cheddar Cheese Crust
Ingredients: 2 1/4 cups all-purpose flour, plus more for dusting; 1 teaspoon sugar; 1/4 teaspoon kosher salt; 1 cup cold unsalted butter, cut into 1/2-inch pieces; 1 cup (4 ounces) grated extra-sharp white Cheddar; 2 pounds Granny Smith apples, peeled and sliced into 1/4-inch wedges; 1 1/2 pounds Braeburn apples, peeled and sliced into 1/4-inch wedges; 1/2 cup granulated sugar; 1/4 cup all-purpose flour; 1/4 cup packed light brown sugar; 1/2 teaspoon ground cinnamon; 1/4 teaspoon freshly grated nutmeg; 2 tablespoons butter, sliced into pats; 1 egg, beaten with 1 tablespoon water; 1 tablespoon turbinado sugar, for sprinkling