Gochujang Chicken Alfredo

Name: Gochujang Chicken Alfredo
Ingredients: 1 pound dried fettuccine pasta; 3 medium scallions; 5 cloves garlic; 1 pound boneless, skinless chicken thighs; 1/4 cup gochujang ( Korean red pepper paste ); 1 tablespoon soy sauce; 1 tablespoon honey; 1 1/2 cups heavy cream; 2 large egg yolks; 2 ounces Parmesan cheese (about 1 firmly packed cup grated on a Microplane), plus more for serving; 2 tablespoons olive oil; 1/2 teaspoon kosher salt, plus more for the pasta water; 1/4 teaspoon freshly ground pepper