Cheese and Herb Fatayer with Golden Dough - Yummy Gusto

Ingredients

• 2 cups all-purpose flour
• 1 teaspoon instant yeast
• 1 teaspoon granulated sugar
• 1/2 teaspoon fine salt
• 3 tablespoons olive oil
• 3/4 cup warm water, more as needed
• 1 cup feta cheese, crumbled
• 1 cup mozzarella cheese, shredded
• 2 tablespoons fresh parsley, chopped
• 1 tablespoon fresh mint, chopped
• 1 teaspoon lemon zest
• Salt and black pepper, to taste
• 1 egg, beaten
• 1 tablespoon water