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01In a 12-inch skillet over medium-high, toast the chilies, pressing with a wide metal spatula and flipping halfway through, until fragrant, about 1 minute. Transfer to a small bowl and pour in the juice; press on the chilies to submerge. Let stand until the chilies have softened, about 10 minutes. Set the skillet aside.
02In a blender, combine the chilies and juice, garlic, vinegar, coriander, honey, oregano and 1 teaspoon salt. Puree until smooth, about 30 seconds. Pour the puree into the same skillet and bring to a boil over medium-high. Nestle the chicken into the sauce, cover and cook over medium-low, stirring and flipping the chicken halfway through, until tender and opaque when cut into with a paring knife, about 20 minutes.
03Using tongs, transfer the chicken to a large plate and set aside until cool enough to handle, 10 to 15 minutes. Using 2 forks, shred into bite-size pieces. While the chicken cools, bring the sauce to a simmer over medium-high and cook, stirring, until thickened and reduced to 1 cup, about 10 minutes. Stir the shredded chicken into the sauce, then taste and season with salt.