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Season the chicken with the cumin, Cajun seasoning, garlic powder, and smoked paprika.
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Heat the olive oil in a large pot over medium heat. Cook the chicken until cooked through, then transfer it to a plate. Once cool enough to handle, shred it.
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In the same pot, sauté the onion, bell pepper, jalapeños, and garlic until softened.
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Stir in the green chiles and jalapeño cream cheese. Gradually add the chicken broth, stirring until the cream cheese is mostly melted.
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Add the drained beans, blended beans, corn, and shredded chicken. Bring to a gentle simmer.
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Simmer for 10–15 minutes, stirring occasionally. Taste and add cayenne, onion powder, and more Cajun seasoning as desired.
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Serve with cilantro, shredded cheese, sliced jalapeños, and sour cream.