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Preheat the oven to 375 degrees F (190 degrees C).
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Heat olive oil in a large oven-safe skillet or Dutch oven over medium heat. Add chicken and cook until lightly browned, 3 to 4 minutes (it will finish cooking later). Remove chicken to a plate.
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Add onion and bell peppers to the same pot and cook until softened, 4 to 5 minutes. Mix in garlic, smoked paprika, onion powder, salt, and pepper. Cook until fragrant, about 1 minute.
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Stir in pasta, chicken broth, diced tomatoes, tomato sauce, and cream. Add chicken back in and mix well. Bring to a gentle simmer. Cover and transfer to the oven.
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Bake in the preheated oven until pasta is tender and the mixture is saucy, 25 to 30 minutes, stirring once halfway through.
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Remove from the oven. Stir in cheese until melted and creamy. Return to the oven, uncovered, for additional 5 minutes.
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Let rest for 5 minutes before serving. Garnish with fresh herbs if desired. Enjoy!