Vietnamese "Banh Mi" Chicken Burger - PCOS-Friendly Recipe

In a glass bowl, combine cucumber, carrot and radishes. In a small pot, bring white vinegar, 1 1/2 teaspoon salt, sugar and 1 cup water to a boil; pour over vegetables and refrigerate until pickled, 1 hour. Heat oven to 400 °F. In a food processor, pulse tofu, egg, scallions, 1/4 teaspoon pepper and remaining 1 teaspoon salt until combined, 30 seconds. In a bowl, fold tofu mixture into chicken; form into 4 patties. Grease a 12" x 12" baking sheet with olive oil. Bake burgers until internal temperature reaches 165 °F, 20 minutes. In a medium skillet, heat sesame oil. Sauté shiitakes, 2 minutes. Add soy sauce, apple cider vinegar, cumin, brown sugar and remaining 1/4 teaspoon pepper; cook 2 minutes. Divide burgers, mushrooms, pickled salad, bean sprouts and cilantro among buns.