Mix the chestnut puree with the milk and powdered sugar until creamy. Use an immersion blender if needed to achieve a smooth consistency.
Sift the flour into a large bowl, then add the baking powder and salt.
Cut the cold butter into cubes and rub it into the flour mixture until it resembles coarse crumbs.
Add the granulated sugar, sour cream, and egg, then start kneading the dough.
Gradually add the chestnut mixture while kneading, ensuring it's evenly distributed throughout the dough.
Cover the dough with a kitchen towel and chill in the refrigerator for about 30 minutes to make it easier to work with.
On a lightly floured surface, roll out the dough to a thickness of about 1.5 cm (½ inch), then cut out the scones using a round cutter.
Place the scones on a baking sheet lined with parchment paper and brush the tops with beaten egg for a glossy finish.
Bake in a preheated oven at 350°F (180°C) for about 20-25 minutes, or until golden brown.
Let cool slightly before serving. Dust with powdered sugar before serving for a sweeter version, if desired.
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