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BRING water to boil in large nonstick skillet. Add broccoli; cover. Simmer on medium-low heat 5 min. or until crisp-tender. Meanwhile, mix 2 Tbsp. dressing, peanut butter, soy sauce and chili sauce until blended.
TRANSFER broccoli to serving plate; cover to keep warm. Heat remaining dressing in skillet on medium-high heat. Add garlic and ginger; cook and stir 1 min. Add chicken; cook 2 min., stirring frequently. Stir in peanut butter mixture; cook 5 to 7 min. or until chicken is done and sauce is thickened, stirring frequently to scrape up browned bits from bottom of skillet.
SPOON onto plate with broccoli.