1.Prep and Toasting :10 min.
Preheat your oven to 350°F (175°C). Grease and flour three 9-inch round cake pans and line the bottoms with circles of parchment paper. Spread all your pecans and coconut onto a baking sheet and toast them in the oven for 5–8 minutes until fragrant and lightly golden. Set aside to cool completely.
2.Whip Whites and Cream the Base :10 min.
In a medium bowl, whisk together the flour, baking soda, baking powder, and salt. In a clean, oil-free bowl, beat the 5 egg whites with the cream of tartar until stiff peaks form; set aside. In a large mixing bowl, cream 1 cup of butter and the granulated sugar on high speed for a full 5 minutes until light and fluffy. Beat in the egg yolks one at a time, followed by the vanilla and almond extracts.
3.Mix and Fold the Batter :5 min.
Alternate adding the dry flour mixture and the buttermilk to the creamed butter, beginning and ending with the flour (3 additions of flour, 2 of buttermilk). Mix on low just until combined. Gently fold in the 1 ½ cups of coconut and chopped pecans. Finally, use a rubber spatula to carefully fold in the beaten egg whites in three batches until just combined—do not stir roughly or you will lose the air.
4.Bake and Cool Layers :25-30 min.
Divide the batter evenly among the three prepared pans. Bake for 25–30 minutes until the surfaces spring back lightly and a toothpick inserted into the center comes out clean. Let the cakes cool in their pans for 10 minutes, then turn them out onto wire racks to cool completely to room temperature.
5.Whip the Frosting :10 min.
In a large bowl, beat the softened cream cheese and 1 ½ cups of butter together until silky smooth. Mix in the vanilla and almond extracts. Gradually add the 9 cups of powdered sugar and salt on low speed. Once incorporated, increase the speed to medium-high and whip for 5 minutes until light, fluffy, and cloud-like.
6.Assemble and Crumb Coat :15 min.
Level the tops of your cooled cake layers with a serrated knife if needed. Place the first layer on a cake plate and spread 1 cup of frosting over it. Repeat with the second layer. Place the final layer on top. Spread a thin layer of frosting over the top and sides of the entire cake to create a "crumb coat." Chill the cake in the fridge for 15 minutes to lock the crumbs in.
7.Final Frost and Decorate :10 min.
Frost the entire cake smoothly with the remaining frosting. Mix the remaining 1 cup of toasted coconut and 1 cup of chopped pecans together, then gently press them around the bottom half of the cake. Pipe decorative swirls of frosting around the top rim and place a whole pecan half onto each swirl.