Heat rapeseed oil in a large saucepan over medium-high heat. Add the chopped chicken or turkey breast and cook for 2 to 3 minutes, stirring occasionally, until browned and no longer pink inside. Season with salt and pepper. Transfer to a bowl.
In the same saucepan, reduce heat to medium. Add the red pepper, yellow bell pepper, grated carrots, chopped onion, chopped garlic, and diced celery. Cook for 3 to 5 minutes, stirring occasionally, until softened.
Add the chili powder, paprika, cumin, and a pinch of cayenne pepper. Cook for 1 minute, stirring constantly.
Increase heat to medium-high. Add the canned tomatoes, tomato paste, chicken broth, and bay leaf. Bring to a boil, then reduce heat to low and simmer uncovered for 15 minutes.
Return the chicken to the saucepan and simmer for another 5 minutes. Remove the bay leaf before serving.
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