In a large bowl, combine the Napa cabbage, red cabbage, carrots, cucumbers, green onion, cilantro, mint and chopped chicken breast. Add the drained mandarin oranges.
In a small glass bowl, combine the lime juice, peanut butter, soy sauce, agave nectar, fish sauce, rice vinegar and chili garlic sauce. Whisk until smooth.
Toss the salad gently with the dressing (to not break up the mandarin oranges). Garnish with the toasted almonds. Serve.