Turkish Layered Pastry with Cheese

Name: Turkish Layered Pastry with Cheese
Cuisine: Middle Eastern
Ingredients: 2 cups all-purpose flour; 2 large eggs; 1/2 cup water, plus extra as needed; 1/2 tsp salt; 1 cup Turkish white cheese (or feta), crumbled; 1/4 cup fresh parsley, chopped; For the Butter Mixture; 4 tbsp unsalted butter, melted; 1/4 cup olive oil; For Cooking the Pastry; Salted boiling water; Ice water bath