Cut the chicken breasts into thin strips and add to a resealable bag or container with 1 tablespoon (16g) olive oil and the chili lime seasoning. Shake or massage to evenly coat and refrigerate. (If you can let the chicken marinate for a few hours beforehand, that's ideal.)
Cut the peppers and onion into strips.
Heat a large skillet over medium-high heat with the remaining tablespoon of olive oil. Once the pan is hot, add the peppers, onion, and salt. Cook until they begin to soften, about 20 minutes, stirring often.
When the veggies are cooked create a well, add the garlic, and cook for 30-60 seconds before transferring the veggies to a plate. Optional: squeeze half a lime over the veggies at this point.
Immediately add the chicken to the skillet. Cook for 3-4 minutes, making sure the bottoms don't burn/char, before flipping, removing from the heat, and covering. Let the chicken rest for at least 5 minutes in the pan, covered. Make sure the chicken is cooked through (juices run clear or 165F internal temp on the biggest piece).