Preheat oven to 350°F (180°C). Grease a 9-inch (22 cm) cake pan and line the bottom with parchment paper.
In a bowl, whisk together the flour, baking powder, and salt. In another bowl, cream together the butter and sugar until light and fluffy.
Add the eggs one at a time to the butter mixture, mixing well after each addition.
Stir in the chestnut puree, vanilla sugar, and rum. Gradually add the flour mixture to the wet ingredients.
Pour in the milk and mix until you have a smooth, thick batter.
Pour the batter into the prepared cake pan and bake for 35-40 minutes, or until a toothpick inserted into the center comes out clean.
Let the cake cool completely. Meanwhile, prepare the cream topping: whip the heavy cream with the powdered sugar until stiff peaks form.
Spread the whipped cream evenly over the cooled cake, creating a snowy blanket.
Melt the dark chocolate and drizzle it over the top of the cake as desired, for a contrasting decoration.
Refrigerate for at least 1 hour before serving. Dust with powdered sugar and slice to serve!
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