Lemon-Pepper Linguine With Creamy Chicken and Broccoli

Name: Lemon-Pepper Linguine With Creamy Chicken and Broccoli
Cook time: 1 h 10 min
Total time: 1 h 10 min
Cuisine: European, Italian, Mediterranean
Ingredients: 4 large eggs plus 4 egg yolks, well beaten; 1/2 c. finely grated lemon zest plus 1/4 cup lemon juice; Cold water; 4 tsp. olive oil; Kosher salt and pepper; 454 g (16 oz) all-purpose flour; 2 tbsp. olive oil, divided; 1 1/2 lb. broccoli, cut into small florets; 1 lb. boneless, skinless chicken breast, cut into 1-inch pieces; 3 tbsp. fresh lemon juice; 1 tbsp. unsalted butter; 1 onion, chopped; 2 cloves garlic, smashed; 1/4 c. all-purpose flour; 2 c. whole milk; 1/2 c. freshly grated Parmesan cheese