1 lb boneless skinless chicken breast chopped 1/4 tsp salt 1/4 tsp black pepper 2 tbsp cooking oil, divided (i like avocado or grapeseed oil; vegetable or canola oil would also work) 1 large clove shallot, diced 1 1/2 cups frozen peas and carrots 2 1/2 cups cooked rice (see note) 2 tsp lime ju