Sauté the aromatics. Heat olive oil in a large pot or Dutch oven over medium heat. Add onion, bell pepper, and jalapeño.
Cook 4–5 minutes, stirring, until softened and fragrant. Add garlic and cook 30 seconds more.
Brown the turkey. Add ground turkey to the pot. Season lightly with salt and pepper.
Cook 5–7 minutes, breaking it up with a spoon, until no longer pink and lightly browned.
Bloom the spices. Stir in chili powder, cumin, smoked paprika, oregano, onion powder, and garlic powder. Cook 1 minute to toast the spices. This step deepens the flavor.
Add tomato paste and liquids. Stir in tomato paste and cook 1 minute.
Add diced tomatoes (with juices), green chiles, and chicken broth. Scrape the bottom of the pot to release any browned bits.
Simmer. Bring to a gentle boil, then reduce heat and simmer 12–15 minutes. Taste and adjust salt and pepper.
If using riced cauliflower or zucchini, stir it in for the last 5–7 minutes so it stays tender-crisp.
Finish and serve. Squeeze in 1–2 teaspoons fresh lime juice for brightness. Ladle into bowls and top with cilantro and any optional toppings. Serve with extra lime wedges.