Preheat oven to 350°F/175°C. Grease three 8-inch or three 7-inch cake pans with non-stick baking spray and parchment paper. Set aside.
In a medium bowl, sift together 2 1/2 cups cake flour, 2 Tbsp cocoa powder, 1 tsp baking soda, and 1/2 tsp salt. Set aside.
In a large bowl or the bowl of a stand mixer, use either a hand mixer or a stand mixer fit with a whisk attachment to cream together 1/2 cup of butter and 1 3/4 cups granulated sugar. Mix on a medium-high speed for 1-2 minutes until the mixture becomes lighter in color. Scrape the sides and bottom of the bowl as needed with a rubber spatula.
Mix in 2 large eggs on a medium speed until fully combined.
Add in 1 1/4 cups buttermilk, 1/2 cup of oil, 2 tsp vanilla extract, 1 tsp white vinegar, and 1 tsp of red gel food coloring. Mix on a low speed until combined. The mixture might look broken at this stage but I promise it will come together once we add in the dry ingredients.
Slowly mix the dry ingredients into the wet ingredients at a low speed in two additions. Mix until just combined, and you can no longer see any visible streaks of cake flour.
Divide the batter evenly between the prepared pans (about 415g per pan). Bake for 24-28 minutes, or until a toothpick inserted in the center of the cake comes out with a few moist crumbs.
Remove the pans from the oven and let them cool for 10 minutes then run a small offset spatula around the perimeter. Carefully flip the layers out of their pans and place them on a wire rack to finish cooling. I chose not to level the layers because they bake up pretty flat.
Stack the cake layers on top of each other and cut 2 sides of the cake to create an oval/brain shape (about 1 inch off of each side). Use a small, sharp knife to make the top of the cake a bit more rounded. If your cake layers seem to be tearing or you're having a hard time cutting them, pop the cake layers in the freezer for about 20 minutes. It will help them keep their shape better and make them a lot easier to cut. If you're making these in advance, wrap and freeze them at this point.