Preheat the oven to 200°C (fan 180°C).
In a large oven-proof dish, whisk together coconut milk, soy sauce, brown sugar, lime juice, miso paste, grated ginger and Thai seasoning. Taste and adjust seasoning if necessary.
Mix in red pepper, pak choi, edamame, shiitake mushrooms, and baby corn. Stir to coat evenly with the sauce.
Place the dish in the oven uncovered and bake for 12-15 minutes until the vegetables are tender but still vibrant.
Remove the dish from the oven and gently nestle the store-bought dumplings into the sauce and vegetables. Return to the oven and bake for another 8-10 minutes until the dumplings are cooked through and lightly golden on top.
Drizzle with chili oil. Sprinkle toasted peanuts, fresh coriander, and Thai basil (if using) over the top. Serve immediately, optionally with extra lime wedges.