Italian Savory Pie

INGREDIENTS

• 2 cups all-purpose flour, plus more for work surface
• 1/4 cup sugar
• 1/2 teaspoon baking powder
• 1/4 teaspoon salt
• 1/2 cup (1 stick) unsalted butter, cut into 8 pieces
• 2 large eggs, lightly beaten
• 1 pound whole milk ricotta
• 3 large eggs
• 1/4 cup freshly grated Parmesan cheese
• 1/4 pound mozzarella cheese
• 1/4 pound prosciutto, thinly sliced
• 2 tablespoons chopped fresh parsley
• 1/2 teaspoon freshly ground pepper
• 1 large egg, lightly beaten, for brushing