Heat the oil in a large pot over medium heat. Add the mushrooms and cook, stirring occasionally, for 5 to 8 minutes, or until softened. Add the tamari, broth, garlic, ginger, carrot, dumplings, and half the scallions and stir. Bring to a boil, then reduce the heat and simmer for 4 minutes, or until the dumplings are heated through.
Remove from the heat and add the spinach, rice vinegar, and lime juice. Stir until the spinach wilts. Season to taste.
Ladle into bowls and garnish with the remaining scallions and sesame seeds. Serve with more tamari and chili crisp, if desired.
