Heat the avocado oil in a large pot or Dutch oven over medium-high heat.
Add the sliced chicken andouille sausage and sear until browned on both sides, about 3-4 minutes, then remove and set aside.
In the same pot, add the onion, bell pepper, and celery, sautéing until the vegetables are softened and the onions are translucent.
Stir in the minced garlic, smoked paprika, oregano, thyme, cayenne, salt, and black pepper, cooking for 1 minute until fragrant.
Add the dry brown rice and stir to coat it in the oil and spices.
Pour in the crushed tomatoes and chicken bone broth, scraping the bottom of the pot to release any browned bits.
Bring the mixture to a boil, then reduce heat to low, cover, and simmer for 35-40 minutes or until the rice is tender and liquid is absorbed.
Stir the browned sausage back into the pot and nestle the raw shrimp into the rice mixture.
Cover and cook for an additional 5 minutes, or until the shrimp are pink and opaque.
Fluff the jambalaya with a fork and serve hot.