Prepare the ingredients: measure out the flour and sugar, and let the butter soften at room temperature.
In a bowl, cream together the butter and granulated sugar until light and fluffy. Add the eggs one at a time, mixing continuously.
Sift together the flour, cocoa powder, and baking powder. Gradually add to the egg and butter mixture. Finally, stir in the espresso.
Pour the batter into a greased and floured cake pan. Bake in a preheated oven at 350°F (180°C) for about 35 minutes. Check for doneness with a toothpick.
While the cake is cooling, prepare the caramel cream: melt the brown sugar over low heat until liquid and golden brown.
Add the heavy cream and vanilla extract to the caramel, then bring to a simmer, stirring constantly. Add a pinch of salt to enhance the flavors.
Let the caramel cream cool to room temperature, then spread evenly over the cooled cake.
Garnish the cake with whipped cream, cocoa powder, or coffee beans for an extra touch.
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