In a large skillet or pot, heat the avocado oil over medium-high heat until shimmering.
Add the sliced andouille sausage and diced chicken breast, searing for 4-5 minutes until the proteins are browned and the sausage has released its flavorful oils.
Stir in the diced onion, green bell pepper, and celery, sautéing for 5 minutes until the vegetables are softened and translucent.
Add the minced garlic, smoked paprika, dried oregano, dried thyme, cayenne pepper, sea salt, and black pepper, stirring for 1 minute until fragrant.
Incorporate the long-grain white rice and tomato sauce, stirring to coat the rice grains evenly with the spices and oil for about 2 minutes.
Pour in the chicken broth and bring the mixture to a boil, then reduce the heat to low, cover tightly, and simmer for 15 minutes.
Gently fold in the raw shrimp, replace the lid, and continue to simmer for 3 to 5 minutes until the shrimp are pink and the rice is tender.
Remove from heat, let the jambalaya stand covered for 5 minutes to absorb any remaining liquid, and garnish with fresh parsley before serving.