In a bowl, mix ground pork, chopped shrimp, soy sauce, sesame oil, garlic, and ginger to create the wonton filling. Chill for 15 minutes.
Place a small spoonful of filling in the center of each wonton wrapper. Moisten the edges with water, fold into a triangle, and press to seal. Bring the two corners together and press again.
In a large pot, heat chicken broth over medium heat. Add soy sauce, white pepper, sliced garlic, and sesame oil. Simmer for 15 minutes.
Bring a separate pot of water to a boil and cook the wontons for 3-5 minutes, until they float to the surface.
Add chicken, bok choy, carrots, and mushrooms to the broth, simmering for another 5 minutes.
Transfer the cooked wontons into serving bowls. Ladle the hot broth over the wontons, ensuring each bowl has a mix of proteins and veggies.
Notes
For a vegetarian version, replace meat with tofu and use vegetable broth. You can also make the wontons ahead and freeze them for later use.