Sauté the aromatics:Heat olive oil in a large pot or Dutch oven over medium heat. Add diced onion and bell pepper, and sauté until they become soft, about 5 minutes. Stir in the minced garlic and cook for another minute, until fragrant.
Cook the turkey:Push the veggies to one side of the pot and add the ground turkey. Break it apart with a wooden spoon, cooking until browned and no longer pink, about 7–8 minutes. Mix the cooked turkey with the vegetables.
Add the spices:Sprinkle in the chili powder, cumin, smoked paprika, cinnamon, cayenne (if using), salt, and pepper. Stir well to coat the turkey and vegetables, cooking for an additional minute to release the flavors of the spices.
Combine the liquids and pumpkin:Stir in the pumpkin puree, diced tomatoes, black beans, kidney beans, and chicken broth. Bring the mixture to a boil, then reduce heat and let it simmer for 25–30 minutes, stirring occasionally.
Simmer and thicken:As the chili simmers, the flavors will meld together and the liquid will reduce, thickening the chili. If you prefer a chunkier consistency, continue simmering for an extra 10–15 minutes. Taste and adjust seasoning with additional salt, pepper, or cayenne if needed.
Serve and garnish:Ladle the chili into bowls and top with your favorite toppings—shredded cheese, avocado slices, a dollop of sour cream, fresh cilantro, or a handful of tortilla chips for some crunch.