2 tablespoons olive oil
1 large onion, finely chopped
1 pound ground lean lamb
1/2 cup chopped fresh flat-leaf parsley
Salt and pepper to taste
2 cups all-purpose flour plus additional for rolling
1 teaspoon salt
1 large egg
1/2 cup water plus a little more if necessary
2 cups plain whole-milk yogurt (preferably made from sheep's milk)
4 garlic cloves, mashed to a paste with 1 teaspoon salt
1/2 stick (1/4 cup) unsalted butter
3/4 teaspoon fine quality sweet paprika
Coarse salt to taste
4 dashes hot red pepper sauce, or more to taste
Shredded fresh mint leaves for garnish