Cut the chicken breast into thin strips. Slice the bell peppers and onion into strips as well. Mince the garlic.
In a large bowl, whisk together the olive oil, lime juice, cumin, chili powder, smoked paprika, salt, and pepper. Add the chicken strips and let them marinate for 15 minutes.
Heat a skillet over medium-high heat. Sauté the marinated chicken strips for 5-6 minutes, until they are golden brown and cooked through.
Add the bell peppers, red onion, and garlic to the skillet, and sauté for another 5 minutes, until the vegetables are tender-crisp.
Warm the tortilla wraps in a dry skillet or oven.
Serve the chicken and vegetable mixture with the warm tortilla wraps, sprinkled with fresh cilantro. Offer lime wedges for squeezing, if desired.
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