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Shake chicken in flour and saute in oil over med-high heat until browned, 3-4 minutes.
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Lower heat to medium; saute other side 3-4 minutes or until cooked through.
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Transfer to warm platter.
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Reserve 1/2 cup raspberries for garnish.
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Add remaining raspberries, 1/2 cup chicken broth and the thyme to skillet.
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Bring to boil.
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Lower heat; simmer 2 minutes until raspberries are ruduced to a saucy consistency.
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Force raspberry mixture through a strainer with the back of a spoon; discard seed.
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Return puree to skillet.
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Stir together cornstarch& remaining chicken broth in small bowl until smooth.
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Stir into puree.
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Bring to boiling, stirring.
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Lower heat; simmer to thicken, about 2 min.
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Stir in butter, red wine vinegar, lemon juice, sugar, salt and the reserved raspberries.