Preheat the oven to 350°F (177ºC). Prepare three 6-inch or two 8-inch cake pans by spraying the sides with baking spray and fitting a parchment paper circle to the bottom of the pan.
In a medium bowl, add the sifted cake flour, baking powder, baking soda, cinnamon, and salt. Whisk to combine and set aside.
In the bowl of your stand mixer with the paddle attachment (or with a handheld mixer and large bowl), beat the butter on high speed for two minutes until it's light and creamy. Add the sugar and vegetable oil, then mix on medium-high speed for another two minutes. Scrape down the bowl and paddle as needed. Turn the mixer to low speed and add the eggs one at a time. Add the vanilla and sour cream, turn the mixer to high speed, and beat for one full minute. It may look curdled at this point, but don’t worry – it will become smooth cake batter at the end.
Add the dry ingredients all at once and turn the mixer to low speed. Mix until just combined, then slowly pour in the milk. Continue to mix on low speed until just combined, about 30 seconds. Scrape down the sides and bottom of the bowl and give it a few stirs with a whisk to make sure there are no lumps. The batter will be slightly thick.
Pour the batter evenly between the prepared cake pans, then bake for 28-32 minutes. They're done when they spring back to the touch and a toothpick inserted into the middle comes out clean. Let the cakes cool in the pan for five minutes before turning them out onto a wire rack for an additional few hours of cooling.