Heat the olive oil in a medium pot over medium-high heat until shimmering.
Add the diced yellow onion and bell pepper to the pot, sautéing for 3-4 minutes until the vegetables are softened and fragrant.
Add the ground turkey to the pot, breaking it up with a wooden spoon, and cook until browned and no longer pink.
Stir in the chili powder, smoked paprika, ground cumin, sea salt, and black pepper, coating the meat and vegetables thoroughly to toast the spices.
Pour in the tomato puree, rinsed black beans, and water, stirring well to combine all ingredients.
Bring the chili to a gentle boil, then reduce the heat to low and cover with a lid.
Simmer for 15-20 minutes to allow the flavors to meld and the sauce to thicken slightly.
Remove from heat and serve hot in a deep bowl.