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Heat oil in a large pot over medium-high heat. Add chicken and kielbasa; sauté until lightly browned, about 5 minutes.
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Stir in onion, bell pepper, celery, and garlic. Season with cayenne, onion powder, salt, and pepper; cook and stir until onion is tender and translucent, about 5 minutes.
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Add rice and stir in chicken stock and bay leaves. Bring to a boil; reduce heat, cover, and simmer for 20 minutes, or until rice is tender. Stir in Worcestershire sauce and hot pepper sauce.