Adjust oven rack to lower-middle position and preheat to 350°F (180°C). Lightly grease two 9-inch anodized aluminum cake pans and line with parchment. If you don’t have two 9-inch pans, it’s okay to bake the cakes in 8-inch pans instead.
Add the softened butter and granulated sugar to the bowl of a stand mixer fitted with the paddle attachment. Mix on low to moisten, then increase to medium and beat until thick and fluffy, about 5 minutes. Use a rubber spatula to scrape the bottom and sides of the mixing bowl, then add the eggs one at a time, scraping the bowl after each addition and mixing a medium speed until well-combined. Add the vanilla and almond extracts and mix at low speed until combined. Scrape the sides and bottom of the bowl well, ensuring the batter is cohesively mixed.
In a medium, high-sided bowl, whisk the room-temperature sour cream and coffee together (careful - this splashes!).
In a separate large bowl, whisk together the all-purpose flour, cocoa powder, baking soda, baking powder, and salt. Ensure you've broken up any large clumps with your whisk, or use a sifter if you prefer.
Add the dry ingredients and the coffee-cream mixture to the mixing bowl in alternate stages on medium-low speed, starting with ⅓ the flour, ½ the coffee-cream, another ⅓ flour, the remaining ½ coffee-cream, and then ending with the last ⅓ flour. After each addition, scrape the bowl well. After the final addition, increase the speed to medium and mix for 1 minute, until the batter is fluffy, smooth, and glossy.
Divide batter between the prepared cake pans, about ~900 grams each. Bake until cakes they dome slightly and a toothpick comes out clean, about 40 minutes total, rotating them halfway through. The sides should be just starting to pull away from the cake pans.
Cool cakes directly in their pans for 1 hour, then run a butter knife around the edges to loosen. Invert onto a wire rack, peel off the parchment, and return cakes right side up (covered in plastic, the cakes can be left at room temperature for a few hours). Prepare the brown butter frosting.