While the cakes are cooling, sift confectioners sugar.
Set aside.
Chop the chocolate and place in a heat-proof bowl over a pan of simmering water. Stir gently with a rubber spatula until the chocolate melts. Set aside to cool to room temperature.
In the bowl of a stand mixer, beat butter until light and fluffy- about 2-3 minutes. Add egg yolks and vanilla and beat on medium speed for another 1-2 minutes. Turn mixer to low and slowly add in sifted confectioners sugar- beat until smooth. Remaining on low speed, add in melted chocolate and coffee until creamy and light. DO not over-mix or whip. If the frosting is too runny, place it in the fridge for about 5 minutes to set up for decorating.
On a cake pedestal, place one of the layers. Tuck strips of parchment paper or wax paper under the edges of the cake.
Plop a small amount of frosting on the layer and push the frosting out to the edges of the cake.
Top with the second layer. Again, with an off-set spatula, push another large dollop of frosting to the edges of the cake letting the frosting u0022fallu0022 onto the sides. See my video below. Continue decorating the sides. Remove parchment paper and wipe the pedestal base clean.