In a bowl, combine the flour and salt. Gradually add lukewarm water and knead until you have a smooth dough.
Work in the butter and continue kneading until the dough is elastic. Cover and let it rest for 30 minutes.
Meanwhile, prepare the filling: peel the potatoes, cut them into smaller pieces, and boil in salted water until tender.
Drain the potatoes, add the milk and butter, and mash until smooth and creamy.
Divide the dough into 8 equal portions and roll each portion into a thin, round flatbread.
In a dry, hot skillet, cook the flatbreads for 1-2 minutes per side, until lightly browned.
While still warm, fill one half of each flatbread with the mashed potato mixture, then fold the other half over the filling.
Brush the tops with butter and serve fresh and warm.
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