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HEAT oven to 350°F.
PREPARE stuffing as directed on package.
WHISK flour and milk in large microwaveable bowl until blended. Microwave on HIGH 4 min., stirring after 2 min. Add broccoli, cheese and thyme; mix well.
COOK chicken in hot oil in large nonstick skillet on medium-high heat 3 to 5 min. on each side or until browned on both sides. Place in 13x9-inch baking dish; top with vegetable mixture and stuffing.
BAKE 25 to 30 min. or until chicken is done (165ºF).