1. In a medium bowl, combine ground chicken, chopped chicken tenderloin, 1 tablespoon of soy sauce, grated ginger, and minced garlic. Mix until well combined.
2. Place a wonton wrapper on a clean surface. Spoon about 1 teaspoon of the chicken mixture into the center of the wrapper. Moisten the edges with water and fold to seal in a triangle. Repeat with remaining wrappers and filling.
3. In a large pot, bring chicken broth and water to a boil. Add sesame oil and rice vinegar, stirring well.
4. Gently drop the wontons into the boiling broth, reduce heat to a simmer, and cook for 5-7 minutes or until the wontons are fully cooked and tender.
5. Taste the broth and adjust seasoning with salt and pepper as needed.
6. Serve hot, garnished with chopped green onions and fresh cilantro.