In a saucepan over medium heat, melt the brown sugar until it turns into a golden brown caramel. Be careful not to burn it!
Carefully pour in the heavy cream and stir constantly until you get a smooth caramel cream. Let it cool.
In a large bowl, sift the flour, then add the baking powder and salt.
Dice the cold butter and crumble it into the flour mixture until it resembles coarse crumbs.
Add the granulated sugar, ground walnuts, sour cream, and egg, then start kneading the dough. If necessary, you can add a little more sour cream to soften it.
While kneading, gradually add the lukewarm caramel mixture so that the dough is flavorful and moist.
Cover the dough and chill in the refrigerator for 30 minutes to make it easier to handle.
On a floured surface, roll out the dough to about 1.5 cm (approximately 1/2 inch) thick, then cut out the pogácsa shapes using a cookie cutter.
Place the pogácsa on a baking sheet lined with parchment paper, and brush the tops with beaten egg to give them a nice shine.
Bake in a preheated oven at 350°F (180°C) for about 20-25 minutes, or until golden brown.
Let cool, then optionally sprinkle with extra ground walnuts or powdered sugar before serving!
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