Preheat the oven to 350 degrees F. Butter and lightly dust with cocoa powder a 6-cup bundt pan or a 8-inch x 2-inch round cake pan, tapping out the excess. If using a round cake pan, line the bottom with parchment paper, then butter and dush with cocoa again.
Into the bowl of a standing mixer fitted with the paddle attachment or a large mixing bowl, briskly whisk together the all purpose flour, whole wheat pastry flour, sugar, cocoa powder, espresso powder, baking soda, baking powder, and salt until well combined and no lumps remain.
In a separate bowl, combine the buttermilk, oil, eggs, and vanilla until well blended. With the mixer running on low speed, slowly pour the wet ingredients into the dry. Then, keeping the mixer running on low, pour in the coffee and mix gently, just until combined. Scrape the bottom of the bowl with a rubber spatula to ensure all ingredients are blended.
Pour the batter into the prepared pan and bake for 35 to 40 minutes, until a toothpick inserted in the center of the cake comes out clean (either of the two pans will bake in this amount of time). Remove from the oven, place the pan on a wire rack, then let the cake cool in the pan for 30 minutes. Carefully invert onto a serving plate.
Prepare the frosting: in a large mixing bowl, beat together the cream cheese and butter on medium speed until light and fluffy.
In a small bowl, stir together the coffee, espresso powder, and vanilla extract so that the espresso powder dissolves, then add the mixture to the bowl with the cream cheese and butter and beat until combined. In a separate bowl, sift together the powdered sugar, cocoa powder, and salt. With the mixer on low, slowly add the powdered sugar mixture to the cream cheese. Mix until well blended. Add a little more liquid coffee or powdered sugar as needed to reach the desired consistency. Spread over the cooled cake. Sprinkle immediately with chopped chocolate covered espresso beans. Dive in!
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