Apple Pie Grilled Cheese recipe

• 12 tablespoons (1 1/2 sticks) cold unsalted butter
• 2 cups + 3 tablespoons pastry flour (or 1 1/2 cups all-purpose flour + 3/4 cup cake flour)
• 1/4 teaspoon baking powder
• 1/4 teaspoon salt
• 4 1/2 ounces cold cream cheese
• 3 tablespoons cold heavy whipping cream, plus 2 teaspoons for brushing on top
• 1 tablespoon cider vinegar
• 2 Granny Smith apples, peeled, cored, and sliced thin
• 1/3 cup granulated sugar
• 1 tablespoon unsalted butter
• 2 teaspoons lemon juice
• 2 teaspoons cornstarch
• 1/2 teaspoon ground nutmeg
• 1/4 teaspoon ground cinnamon
• 8 slices (6 ounces) sharp cheddar cheese
• Food processor
• 4-inch circle cookie cutter