Heat olive oil in a large pot over medium heat. Sauté diced onion and minced garlic until softened, about 3-4 minutes.
Add ground beef or turkey and cook until completely browned and cooked through, breaking up with a spoon.
Stir in drained black beans, diced tomatoes with green chiles, tomato paste, chili powder, cumin, smoked paprika, oregano, salt, and water.
Bring mixture to a boil, then reduce heat to low, cover, and simmer for 15 minutes.
Remove from heat and adjust salt to taste before serving.