All-American Apple Pie

Ingredients

• 2 cups all-purpose flour
• 1/2 cup sifted cake flour
• 1 teaspoon salt
• 2 tablespoons sugar
• 1/2 cup cold unsalted butter, cut into 8 pieces
• 1/4 cup shortening
• 6 tablespoons ice water
• 7 large Granny Smith apples
• 1/2 lemon
• 3 tablespoons butter, melted
• 1 cup sugar
• 1 3/4 teaspoon cinnamon
• 1/4 teaspoon freshly grated nutmeg
• 2 tablespoons flour
• 1 egg plus 1 tablespoon water (set aside)
• 2 teaspoon sugar or sparkling sugar