Apple Pie Calzone

Name: Apple Pie Calzone
Ingredients: 1/2 cup ice-cold water; 1/4 cup vodka; 3 cups (405g) all-purpose flour; 1 tablespoon granulated sugar; 1 teaspoon kosher salt; 8 ounces (2 sticks) unsalted butter, cold and cubed; 2 tablespoons unsalted butter; 3 pounds (8 to 9 medium) Honeycrisp apples, peeled and cut into ½-inch pieces; 1 cup (200g) granulated sugar; 2 tablespoons freshly squeezed lemon juice; 2 teaspoons ground cinnamon; 1 teaspoon ground ginger; 1 teaspoon freshly grated nutmeg; 3 tablespoons cornstarch; 3 tablespoons water; All-purpose flour, for dusting; 1 large egg, beaten; 2 tablespoons granulated sugar