01 - In a large mixing bowl, thoroughly combine shredded chicken breast, buffalo wing sauce, mozzarella cheese, blue cheese (if desired), celery, green onions, garlic powder, and ground black pepper until evenly distributed.
02 - Position an egg roll wrapper on a clean surface in a diamond orientation. Place 2 to 3 tablespoons of the prepared filling in the center of the wrapper.
03 - Fold the bottom corner over the filling, then fold in both side corners. Roll the wrapper tightly towards the top corner and brush the top edge with beaten egg to seal securely.
04 - Continue with the remaining wrappers and filling until all egg rolls are assembled and sealed.
05 - Preheat approximately 2 inches of vegetable oil in a deep-frying pot or heavy-bottomed vessel to 350 degrees Fahrenheit.
06 - Using tongs, fry egg rolls in small batches until golden brown and crisp, about 3 to 4 minutes per batch. Maintain a steady oil temperature throughout.
07 - Transfer fried egg rolls to a plate lined with paper towels to drain excess oil. Serve warm, accompanied by ranch or blue cheese dressing for dipping.