Prep: Preheat the oven to 350°F. Grease three 8-inch round cake pans and line the bottoms with parchment paper. Set aside.
Brown the butter: Cut the butter into chunks and melt it in a small saucepan over medium heat. The butter will melt, then begin to bubble and foam before turning golden brown. Stir occasionally, scraping the bottom so it doesn’t burn. Once it’s a deep golden color and smells nutty, remove from the heat and transfer to a bowl to cool.
Mix the dry ingredients: In a separate bowl, whisk together the flour, baking powder, baking soda, salt, cinnamon, nutmeg, ginger, and allspice. Set aside.
Mix the wet ingredients: Once the browned butter has cooled slightly, stir in both sugars until combined. Add the eggs, pumpkin purée, and vanilla extract, and whisk until smooth.
Combine the wet and dry: Add the dry ingredients to the wet ingredients and fold together with a rubber spatula until just combined. Scrape the sides and bottom of the bowl to make sure no dry spots remain, but don’t overmix—this keeps the cake tender.
Bake: Divide the batter evenly among the prepared pans. For the most accuracy, use a kitchen scale — each pan should have about 540 grams of batter. You can also use a measuring cup or cookie scoop to portion it evenly. Smooth the tops and bake for 20-25 minutes, or until a toothpick inserted in the center comes out clean.
Cool: Let the cakes cool in the pans for 10–15 minutes, then turn them out onto a wire rack to cool completely before frosting.