Bring a medium pot of salted water to a boil. Add the chicken and simmer until cooked through (about 10 minutes depending on how thick the chicken is). Remove and cool before shredding or slicing.
While the chicken is cooking, place the rice vermicelli in a bowl and cover with hot tap water. Allow to soften, about 10 minutes. Drain.
To make the dressing, whisk together the garlic, sugar, lime juice and sriracha and ensure the sugar dissolves.
Add the carrots, peppers, scallions, cilantro, mint, basil and mango to the vermicelli. Pour in the dressing. Toss well to combine.