Preheat oven to 350°F (180°C). Grease and flour a round cake pan.
In a large bowl, whisk together the flour, cocoa powder, and baking powder.
In another bowl, cream together the butter, granulated sugar, and brown sugar until light and fluffy. Add the eggs one at a time, beating well after each addition.
Melt the dark chocolate over a double boiler or in the microwave in 30-second intervals, stirring until smooth. Add the melted chocolate to the egg mixture.
Add the milk and vanilla extract, then gradually incorporate the dry ingredients until just combined. Do not overmix.
Pour the batter into the prepared cake pan and bake for 30-35 minutes, or until a wooden skewer inserted into the center comes out clean. Let cool completely in the pan before frosting.
For the frosting, whip the heavy cream until stiff peaks form. Gently fold in the powdered sugar and the remaining melted dark chocolate.
Frost the top and sides of the cooled cake with the chocolate cream, smoothing it out evenly.
Decorate the cake with dark chocolate shavings and edible stars or pearls for a festive look.
Refrigerate the cake for at least one hour before serving to allow the flavors to meld.
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