Prepare a grill for medium-high heat. Thread chiles onto skewer and grill, turning often, until charred and softened, about 6 minutes. Let cool; remove stems.
Pluck leaves from basil and leaves and tender stems from cilantro and parsley. (You should have about 2 cups of each)
In a food processor pulse chiles, basil, cilantro, and parsley until finely chopped. Add oil, vinegar, and salt and pulse until a thick, slightly textured sauce forms.
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