Brown Butter and Cheddar Apple Pie

INGREDIENTS

• 12 tablespoons cold unsalted butter, cut into cubes
• 3 tablespoons semolina flour
• 1/3 cup granulated sugar
• 2 tablespoons cold lard
• 2 tablespoons cornstarch
• 4 tablespoons unsalted butter
• 2 tablespoons water
• 2 1/2 cups AP flour
• 1/2 cup grated sharp yellow cheddar
• small glass ice water
• 3 pounds apples, preferably a combo of Cortland and Honey Crisp, peeled and roughly chopped
• 3 tablespoons dark brown sugar
• 1 egg, beaten for egg wash
• 1 teaspoon salt