Lemon Fettuccine Alfredo with Grilled Chicken and Broccoli

Ingredients

• 2 Tbsp butter
• 3 Tbsp flour
• 1 Tbsp fresh lemon juice
• 1/2 cup (1.5 oz) finely shredded parmesan, plus more for serving
• 3 Tbsp heavy cream
• 1 lb boneless skinless chicken breasts, grilled and sliced into strips
• 2 cloves garlic, minced
• 12 oz dry fettuccine pasta
• 4 cups broccoli florets (from 1 lb broccoli crowns)
• 1 3/4 cups milk (preferably 1%)
• Salt and freshly ground black pepper
• 3 oz. light or regular cream cheese, diced into cubes
• 1 Tbsp lemon zest, plus more for serving