Heat vegetable oil in a soup pot over high heat. Add mushrooms, and cook, stirring occasionally, until they start to brown, about 4 minutes.
Stir in ginger, garlic, and white parts of sliced green onions, and cook just until fragrant, about 1 minute.
Pour in broth and bring to a simmer. Stir in soy sauce, rice vinegar, sesame oil, and Sriracha.
Add bok choy, green parts of sliced green onion, and frozen potstickers, and cook, stirring occasionally, until dumplings are heated through, 3 to 4 minutes.
Just before potstickers are hot, mix miso paste with about 1/2 cup of hot broth, and stir into the soup. Turn off the heat, and stir in chili crisp. Taste for seasoning, and serve immediately.