In a food processor, combine chopped goose meat, water chestnuts, red bell pepper, green onions, shallot, garlic, fresh ginger, hoisin sauce, soy sauce, and rice vinegar. Process until a fine, evenly mixed stuffing forms. Refrigerate for 1 hour to firm up.
To form the dumplings, remove 1 wrapper from the package, keeping the others covered with a damp towel. Lightly moisten the edges of the wrapper with water. Place a rounded teaspoon of stuffing in the center, fold over, seal the edges, and shape as desired. Place on a sheet pan and cover with a damp towel. Repeat until all filling is used.
Heat a skillet over medium heat and add a few tablespoons of oil. Place 8–10 potstickers flat-side down and cook for 2 minutes until lightly browned.
Carefully add a small amount of chicken stock to the pan, reduce heat to low, cover, and steam for 2 minutes. Remove cooked potstickers to a heatproof platter and keep warm in the oven. Repeat with remaining potstickers.
Garnish with chopped green onion and serve with sweet heat chili sauce.