Preheat your oven to 350°F (180°C). Grease and line a 9-inch (22 cm) cake pan with parchment paper.
In a bowl, whisk together the flour, baking powder, and a pinch of salt.
In a separate bowl, cream together the eggs and granulated sugar until light and fluffy. Add the melted butter, vanilla extract, and milk. Mix well to combine.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Be careful not to overmix.
Pour the batter into the prepared cake pan and bake for 25-30 minutes, or until a wooden skewer inserted into the center comes out clean. Let the cake cool in the pan.
For the caramel, melt the brown sugar in a saucepan over medium heat until it becomes liquid. Add the heavy cream and a pinch of salt, then stir until smooth. Let the caramel cool slightly.
Slice the cake horizontally into two layers. Spread the bottom layer with caramel cream, then top with the second layer.
Cover the top of the cake with the remaining caramel cream. Before serving, chill the cake in the refrigerator for at least 2 hours to allow the caramel to set.
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