Preheat oven to 350°F/175°C. Line four 7" or three 8" pans with parchment paper, then grease with nonstick spray or homemade cake release. Set aside. Mix 3 cups all purpose flour, 3 cups sugar, 2 1/2 tsp baking powder and 1 tsp salt together in a stand mixer with a paddle attachment or hand mixer until fully combined.
Then, mix in 1 cup of room temperature, unsalted butter slowly into the dry ingredients on a low speed. Continue to mix until no large chunks of butter remain, and the mixture looks like moist sand.
Pour in 1 cup of egg whites and mix on low until just incorporated. Scrape the sides and bottom of the bowl as needed with a rubber spatula.
Then mix in 1 1/2 cups sour cream, 2 Tbsp of vegetable oil, and 1 Tbsp of vanilla bean paste on a low speed until fully incorporated.
Scrape down the sides of the bowl with a rubber spatula one more time, then beat on a medium speed for about 30 seconds to make sure everything is properly mixed together. This also helps lighten the texture of the cake layers.
Divide the batter evenly between the prepared pans. I like to use a scale to make sure each pan has the same amount of batter and will bake up to be the same height.
Bake for 33-35 minutes or until a toothpick comes out with a few moist crumbs. Rotate the pans halfway through to help them bake evenly.
Let the pans cool for 10 minutes, then run a small offset spatula around the perimeter of the pan to separate the cake from the pan.
Place the cake layers into the freezer for 30 minutes to accelerate the cooling process. Once the layers are fully cooled, carefully flip the pans and remove the layers.
Use a serrated knife to level the tops of the layers right before you plan to assemble your cake, or you can wrap and freeze them if you're making them in advance. If you do freeze the cake layers, let them thaw for about 20 minutes before making the cake. The cake layers should still be slightly cold to the touch, which will make it easier to assemble the cake.