Preheat the oven to 350°F. Line, grease and flour three 8-inch cake tins.
In a large bowl, mix together the flour, baking powder, ground almonds, sugar and salt. Using your fingers, rub the butter into the dry ingredients until no large chunks of butter remain.
Dissolve the coffee in 1/3 cup hot water and pour into the flour mixture, along with the milk and eggs. Mix together using a wooden spoon or a hand-held electric beater.
Divide the batter between the lined cake tins and bake for 20–25 minutes until the cake springs back when poked with a finger. Let the cakes cool in their tins for 10 minutes, then turn out onto a wire rack. Remove the baking parchment and turn the cakes right-side up. Leave to cool completely before using a serrated knife to level any domed cakes.
To make the filling and frosting, combine 2 tablespoons of boiling water and the instant coffee in a small bowl. In a large bowl, whisk the cream until it just starts to thicken. Add the 2 tablespoons of icing sugar and 1 tablespoon of the dissolved coffee. Continue to whisk until it forms soft peaks (if it starts to look grainy, immediately add 2 tablespoons of extra whipping cream and gently stir it in). Chill in the fridge while you make the buttercream.
Make the coffee buttercream by creaming the butter, remaining dissolved coffee and the icing sugar together in a separate bowl until smooth. It should be the consistency of cream cheese so add a splash of milk if it seems too thick.
To assemble, place 1 cooled cake (cut-side down, if levelled) on a cake stand or large platter. Place one-third of the buttercream on top of the cake and use a spoon or butter knife to spread it over the surface of the cake, stopping just shy of the edge. Top with a second cake (again, cut-side down) and press down lightly so that the buttercream is pushed to the edge. As before, cover with buttercream and then top with the third cake (cut-side down).
Use the remaining buttercream to very thinly frost the side of the cake (this is known as a crumb coating). Use the coffee-whipped cream to frost the top of the cake. To create the effect shown in the photograph, use a palette knife to create C-shapes in the whipped cream, starting at the top of the cake and moving towards the center. Do this all along the edge of the cake until you’ve covered the entire surface, then dust with cocoa powder. The cake will keep in the fridge for a couple of days; bring it to room temperature before serving.