Apple-Pecan Spice Cake with Cheesecake Filling

INGREDIENTS

• :
• 8 ounces cream cheese, at room temperature
• ¼ cup unsalted butter, at room temperature
• ½ cup granulated sugar
• 1 egg, at room temperature
• 2 tablespoons all-purpose flour
• 1 teaspoon vanilla extract
• 3 cups all-purpose flour
• 1 cup granulated sugar
• 1 cup light brown sugar
• 2 teaspoons ground cinnamon
• 1 teaspoon ground nutmeg
• ½ teaspoon ground allspice
• 1 teaspoon baking soda
• 1 teaspoon salt
• 3 eggs
• ¾ cup canola or vegetable oil
• ¾ cup unsweetened applesauce
• 3 Gala apples, peeled, cored and finely chopped (about 3 cups)
• 1 cup pecans, toasted and finely chopped
• ½ cup light brown sugar
• ¼ cup unsalted butter
• 3 tablespoons whole milk
• 1 cup powdered sugar