For the dough: Mix the flour, water, salt and egg together in a bowl. Cover with plastic wrap and a towel. Let rest at room temperature for 2 hours.
Roll out the dough with a rolling pin, the thinner the better. Use a pizza cutter and cut the dough into 2-inch squares.
For the filling: Mix together the beef, paprika, pepper, salt and onion by hand for 3 minutes. Place small chunks of filling into the pieces of dough. Grab the 4 edges of a piece of dough and bring together, then pinch on top to seal. Continue with the remaining dough and filling.
Fill a saucepan about halfway up with water and bring to a boil. Using a skimmer, place the mantes into the boiling water for 2 minutes.
For the tomato garlic sauce: Mix the olive oil, garlic, mint, red pepper paste, tomato paste, salt and 1/4 cup water in a bowl. Add to a saute pan and heat up.
Using a skimmer, remove the mantes from the boiling water and add to the saute pan with the tomato garlic sauce. Gently mix for 1 minute.
For the garlic yogurt sauce: Mix together the yogurt, garlic and salt in a bowl. Add the mantes from the tomato garlic sauce to the garlic yogurt sauce using a large spoon. Mantes can be paired with rice pilaf or be served on their own.