Chicken Caesar Pasta Salad

Name: Chicken Caesar Pasta Salad
Ingredients: 1/2 teaspoon fine salt, more as needed; 8 ounces fusilli pasta; 3 anchovies, coarsely chopped; 3 medium cloves garlic, coarsely chopped; Finely grated zest of 1 large lemon; 3 tablespoons freshly squeezed lemon juice; 1 large egg yolk; 2 teaspoons Dijon mustard; 6 tablespoons olive oil, divided; 3 tablespoons finely grated Parmigiano-Reggiano, more for garnish; 3 slices sourdough bread, cubed or torn into 1-inch pieces (about 3 cups); 3 cups shredded rotisserie chicken; 4 cups coarsely chopped romaine hearts; Freshly ground black pepper, to taste