Cheesecake-Stuffed Pumpkin Bread

Preheat oven to 350º and butter and flour a 9"-x-5" loaf pan. In a large bowl, whisk together 1 cup flour, pumpkin pie spice, baking soda, baking powder, and salt. In another large bowl, combine pumpkin, 1 cup sugar, melted butter, sour cream, 1 egg and 1 egg yolk, and vanilla until smooth. Pour wet ingredients over dry and fold until completely combined. Make cream cheese filling: In a small bowl, stir together cream cheese and remaining egg, 2 tablespoons flour, and 3 tablespoons sugar. Transfer half the pumpkin batter to prepared pan. Dollop cream cheese filling on top and smooth in an even layer with a spatula. Top evenly with remaining pumpkin batter. Bake until deeply golden and a toothpick comes out clean, 1 hour 5 minutes to 1 hour 15 minutes.  Let cool at least 10 minutes before serving.