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Place each chicken breast half between 2 sheets of heavy duty plastic wrap and pound to 1/4 inch thickness using a meat mallet or small heavy skillet.
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Sprinkle with salt and pepper.
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Heat oil in a large nonstick skillet coated with cooking spray over medium-high heat.
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Add chicken ; cook 4 minutes on each side or until browned.
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Remove from pan ; keep warm.
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Add chicken broth, sugar , 2 tablespoons juice, and mustard to pan ; cook over medium heat, scraping pan to loosen browned bits.
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Combine water and cornstarch in a small bowl. Add cornstarch mixture to pan ; stir well with whisk. Bring to a boil over medium-high heat ; cook 1 minute or until sauce thickens slightly.
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Whisk in remaining 1 tablespoon lime juice and butter, stirring until butter melts.
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Return chicken to pan ; simmer w minutes or until chicken is thoroughly heated.