Apple Cranberry Pie

Name: Apple Cranberry Pie
Ingredients: 1 Double pie crust (store bought or homemade); 4 cups Granny Smith apples, peeled, cored, and diced; 4 cups Mutsu apples, peeled, cored, and diced; 1 12 ounce bag fresh cranberries, rinsed; 1 tablespoon lemon juice; 3/4 cup Honey Apple Butter; 1/4 cup light brown sugar, packed; 1 teaspoon cinnamon; 1/2 teaspoon apple pie spice; 1/4 teaspoon nutmeg; 1/4 teaspoon ground ginger; 1/4 teaspoon sea salt; 1/8 teaspoon Cardamom; 2 tablespoons unsalted butter; 2 tablespoons corn starch; 4 teaspoons bourbon; 1 egg white, lightly beaten; 1/2 teaspoon granulated sugar