Begin by preparing the pasta according to the package instructions. Once cooked, drain and set aside, keeping it warm.

In a small bowl, combine one tablespoon of Cajun seasoning with half a teaspoon each of salt, pepper, and thyme. Season the chicken and shrimp evenly with this mixture.

Heat a small amount of olive oil in a large sauté pan over medium heat. Add the shrimp to the pan, cooking each side for 2 to 3 minutes, or until they turn pink and curl. Remove from the pan immediately and set aside, keeping them warm.

Add a little more oil to the pan and cook the chicken pieces until they are fully cooked through, approximately 7 minutes. Once done, remove the chicken and set it aside with the shrimp.

Place the sausage slices in the same pan, warming them and allowing them to brown slightly. Remove the sausage and set it aside with the other cooked meats.

Pour the remaining olive oil into the pan and sauté the diced onion, bell pepper, and garlic for 3 to 4 minutes. Stir in one tablespoon of Cajun seasoning, half a teaspoon of salt, crushed tomatoes, chicken broth, and heavy cream. Bring the mixture to a simmer and cook for 2 to 3 minutes.

Remove the pan from the heat and stir in the Parmesan cheese, mixing until the cheese has melted and the sauce is smooth.

Add the drained pasta to the sauce and toss to coat the noodles thoroughly. Then, return the shrimp, chicken, and sausage to the pan and combine everything evenly.

Serve immediately, garnished with parsley and extra Parmesan if desired.