01 - Combine flour, instant yeast, sugar, and salt in a large bowl. Add warm water and olive oil, stirring until a shaggy dough forms. Knead for 8–10 minutes until smooth and elastic. Cover and let rise in a warm place for 1 hour until doubled in size.
02 - Preheat oven to 475°F. Line a baking sheet with parchment paper.
03 - Combine mozzarella, feta, diced tomatoes, parsley, oregano, and black pepper in a bowl. Set aside.
04 - Punch down risen dough and divide into 4 equal pieces. Roll each piece into an oval measuring approximately 10 x 4 inches.
05 - Transfer dough ovals to prepared baking sheet. Distribute cheese and tomato mixture evenly over each oval, leaving a ½-inch border. Fold edges over slightly and pinch ends to create boat shapes.
06 - Brush dough edges with melted butter.
07 - Bake for 10 minutes. Remove from oven and carefully crack an egg into center of each pide. Return to oven and bake 7–10 minutes longer until egg whites are set but yolks remain slightly runny and edges are golden.
08 - Remove from oven. Brush edges with additional melted butter if desired and garnish with chopped parsley. Serve warm.