Place a large pot or Dutch oven over medium heat and add the toasted sesame oil.
Add the sliced white parts of the green onions, minced garlic, and grated ginger. Sauté for 2 minutes until aromatic.
Pour in the broth and soy sauce. Increase the heat to medium-high and bring the liquid to a gentle boil.
Carefully add the frozen dumplings to the pot. Reduce heat to medium and simmer for 5 to 8 minutes, or until the dumplings float and are heated through.
Remove approximately 1/4 cup of the warm broth and whisk it into the miso paste in a small bowl until smooth. Stir the miso slurry back into the pot.
Add the baby bok choy to the soup and simmer for 1 to 2 minutes until the leaves are wilted and the stems are tender-crisp.
Stir in the rice vinegar to brighten the flavors.
Ladle the soup into bowls, ensuring an even distribution of dumplings and greens. Garnish with the green parts of the onions and a drizzle of chili crisp.