Heat the olive oil in a large heavy-bottomed pot or Dutch oven over medium heat.
Add the sliced chicken andouille sausage and sear until browned on both sides, then remove and set aside.
In the same pot, add the diced onion, celery, and green bell pepper (the holy trinity) and sauté until the vegetables are softened and aromatic.
Stir in the minced garlic and tomato paste, cooking for 1-2 minutes until the paste darkens slightly.
Add the sea salt, black pepper, smoked paprika, and cayenne pepper, stirring to coat the vegetables.
Pour in the chicken bone broth and add the sliced okra, then bring the mixture to a gentle simmer.
Return the sausage to the pot, cover, and simmer for 10 minutes to allow the flavors to meld and the okra to thicken the broth.
Add the raw shrimp and cook for 3-4 minutes until they are pink and opaque.
Serve the gumbo hot in a shallow bowl over the cooked brown rice.