01 - In a large mixing bowl, combine shredded cooked chicken breast, buffalo wing sauce, shredded mozzarella cheese, crumbled blue cheese, chopped celery, green onions, garlic powder, and black pepper. Stir until fully incorporated.
02 - Place one egg roll wrapper on a clean work surface with a corner facing you. Spoon approximately 2 to 3 tablespoons of filling into the center. Fold the bottom corner up over the filling, fold in the sides, and roll tightly. Brush the top corner with beaten egg to seal the edge.
03 - Continue assembling the remaining egg rolls with the filling and wrappers, sealing the edges with the egg wash.
04 - Pour vegetable oil into a deep-frying pot or heavy-bottomed pan to a depth of 2 inches, and heat to 350°F.
05 - Working in batches, add egg rolls to the hot oil and fry for 3 to 4 minutes, turning as needed, until golden brown and crisp. Transfer to a plate lined with paper towels to drain excess oil.
06 - Arrange the egg rolls on a platter and serve hot with ranch or blue cheese dressing for dipping.