Sear Chicken and Sausage:In a large pot, heat olive oil over medium-high heat. Add the cubed chicken and sliced sausage. Sauté for 5–7 minutes until chicken is browned and fully cooked.
Cook the Vegetables:Stir in the diced onion, celery, bell pepper, and jalapeño. Cook for 5 minutes, stirring frequently, until the vegetables are tender.
Add Seasonings and Flour:Add the garlic, cumin, smoked paprika, chili powder, cayenne, and flour. Stir constantly for 1–2 minutes to toast the spices and coat everything evenly.
Build the Broth:Gradually pour in the chicken broth, stirring to combine. Add the drained beans. Bring the mixture to a simmer and cook for 10 minutes, allowing the flavors to develop.
Finish with Shrimp and Cream:Stir in the shrimp and heavy cream. Simmer for an additional 2–3 minutes until the shrimp are pink and cooked through.
Serve:Ladle the chili into bowls and serve hot. Garnish with sour cream, shredded cheese, jalapeño slices, chopped avocado, fresh cilantro, or a squeeze of lime juice if desired.