Prepare 2 4-inch cake pans by spraying them with cooking spray and placing parchment rounds in the bottom.
Preheat oven to 350℉.
Place chocolate chips in a small glass bowl and place in the microwave. Melt for 30 seconds. Stir until smooth. Add 10-second increments until melted. Stir and set aside to cool.
In a small bowl, whisk together the flour, cocoa, espresso powder, soda, and salt. Set aside.
In a 2-cup glass measuring cup, add the softened butter and sugars. Beat with a handheld immersion blender with the beaters attachment until light and creamy, about 1 minute. Scrap down.
Beat in the egg, vanilla, buttermilk, and cooled melted chocolate. Scrap down.
Slowly add the flour mixture, mixing with a rubber spatula until combined. Don’t overmix.
Distribute evenly into the 2 cake pans and bake for 25-30 minutes or until a toothpick inserted in the middle comes out with a few crumbs.
Cool cakes in pans for 10 minutes, then remove to a wire rack to cool completely. When cakes are completely cooled, level the cake tops.