Apple Pie With Cheddar Lattice Crust

Ingredients

• 5 cups peeled, sliced Granny Smith apples
• 1/4 cup light brown sugar
• 4 tablespoons unsalted butter
• 1 tablespoon cornstarch
• 2 teaspoons cinnamon
• pinch of salt
• 1 tablespoon lemon juice
• 2 cups all-purpose flour
• 1 teaspoon fine sea salt
• 2 teaspoons granulated sugar
• Pinch of cayenne
• 9 tablespoons unsalted butter
• 1 2/3 cups grated sharp white cheddar cheese (about 5 ounces)