01 - In a large mixing bowl, thoroughly combine the shredded chicken breast, buffalo wing sauce, mozzarella cheese, crumbled blue cheese, chopped celery, chopped green onions, garlic powder, and black pepper until the filling is cohesive.
02 - Position an egg roll wrapper on a clean surface with one corner facing you. Place 2 to 3 tablespoons of the filling near the center.
03 - Fold the bottom corner over the filling, fold in both side corners, and tightly roll upward. Brush the top corner with beaten egg to seal the edge securely.
04 - Repeat the filling and rolling process with the remaining wrappers and prepared chicken mixture.
05 - Pour vegetable oil into a deep pot to a depth of 2 inches. Preheat to 350°F (175°F) using a kitchen thermometer for accuracy.
06 - Working in batches, gently lower egg rolls into the oil. Fry 3 to 4 minutes until golden brown and crisp, turning occasionally for even cooking. Remove with tongs and drain briefly on paper towels.
07 - Arrange egg rolls on a platter and serve warm, accompanied by ranch or blue cheese dressing if desired.