In the lukewarm coffee milk, dissolve the brown sugar, then crumble in the yeast. Let it stand for 10 minutes until frothy.
In a large bowl, sift the flour, add the salt and ground coffee, then rub in the cold butter until the mixture resembles breadcrumbs.
Pour in the proofed yeast mixture, the sour cream, and the whole egg. Knead the dough until it becomes elastic.
Cover the dough and let it rise in a warm place for about 1 hour.
On a lightly floured surface, roll out the dough to about 2 cm thickness, then fold it over several times to incorporate air.
Roll out again to 2 cm thickness, then use a scone cutter to cut out the scones. Place them on a baking sheet lined with parchment paper.
Brush the tops with beaten egg, then sprinkle with brown sugar. Bake in a preheated oven at 350°F (180°C) until golden brown, about 20-25 minutes.
Let the scones cool on a wire rack, then serve fresh or store in an airtight container.
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