Meanwhile, in a saucepan, bring the broth and vinegar to a boil. Add the chicken and, if necessary, enough water (up to 1/2 cup) to cover it. Simmer for 1 minute. Cover, remove from heat, and set aside until cooked through, about 15 minutes. Transfer the chicken to a cutting board. Return the liquid to medium-high heat and simmer until reduced to about 1/3 cup, about 10 minutes. Thickly slice the chicken. Divide the ingredients among individual plates. Drizzle with the balsamic mixture.
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