Add the remaining ¼ cup of low-sodium vegetable broth to the skillet, along with ginger, garlic, broccoli, bell peppers, mushrooms, and carrots. Cook, stirring occasionally, until slightly softened, about 5 minutes.
5 Add the chicken and onions back to the skillet. Add in the whisked eggs. Stir to combine.
6 Once the eggs are cooked through, add the previously prepared balsamic vinegar sauce to the pan. Stir thoroughly to combine. Reduce the heat to low and cook for about 5 minutes, covered.
7 Divide cooked rice and stir-fry mixture evenly over 4 plates.
8 Note: The USDA recommends cooking eggs until the yolk and whites are firm.