01 - In a large mixing bowl, combine shredded chicken, buffalo wing sauce, mozzarella cheese, blue cheese, celery, green onions, garlic powder, and ground black pepper. Mix thoroughly to distribute flavors.
02 - Arrange an egg roll wrapper on a clean surface in a diamond orientation. Place 2 to 3 tablespoons of the chicken mixture in the center.
03 - Fold the bottom corner over the filling, then fold in both sides. Roll upward tightly, brushing the top corner with beaten egg to secure the seal.
04 - Continue filling and rolling until all wrappers and filling are used.
05 - Pour vegetable oil to a depth of approximately 2 inches in a deep-frying pot. Heat to 350°F (175°C).
06 - Working in batches, gently lower egg rolls into the hot oil. Fry for 3 to 4 minutes per batch until golden brown and crisp, turning as needed. Transfer to a paper towel-lined tray to drain excess oil.
07 - Serve warm, accompanied by ranch or blue cheese dressing for dipping.