01 - Cook pasta according to package directions until al dente. Drain and set aside, reserving 1/2 cup of pasta water for later use.
02 - Heat 1 tablespoon olive oil in a large skillet over medium-high heat. Add sausage slices and cook until browned, approximately 3-4 minutes. Remove from skillet and set aside.
03 - Season chicken pieces with half the salt and pepper. Add to the skillet and cook until just cooked through, about 5-6 minutes. Remove and set aside with the sausage.
04 - Add remaining olive oil to the skillet. Sauté onion, bell peppers, and celery until softened, about 5 minutes. Stir in garlic and cook for 1 minute until fragrant.
05 - Return sausage and chicken to the skillet. Add shrimp, smoked paprika, oregano, thyme, cayenne, and remaining salt and pepper. Cook, stirring constantly, until shrimp turn pink and opaque, about 3 minutes.
06 - Pour in chicken broth and bring to a simmer. Reduce heat to medium-low, stir in heavy cream, and cook for 2-3 minutes until sauce slightly thickens.
07 - Add drained pasta and Parmesan cheese to the skillet. Toss everything together thoroughly, adding reserved pasta water as needed to achieve creamy consistency. Remove from heat, sprinkle with parsley and green onions, and serve immediately.