Coat a large nonstick pan or wok with cooking spray. Add 1 teaspoon oil. Add chicken and squeeze the juice of 1 lemon over the top. Cook over medium-high heat, stirring often until chicken is completely cooked, about 4 minutes. Remove from pan and add to a plate. Set aside.
Step 2
Coat the same nonstick pan with more cooking spray. Heat 2 teaspoons oil in pan. Add all the veggies and water. Stir-fry for about 3 minutes until broccoli softens. Stir in ginger, garlic, and red pepper flakes. Continue to cook and stir-fry for 1 minute. Add back chicken, add soy sauce, brown sugar, and vinegar. Reduce heat and simmer, stirring frequently, for about 5 minutes.