01 - In a large mixing bowl, combine cooked chicken, black beans, corn, red bell pepper, red onion, shredded cheese, cilantro, cumin, chili powder, smoked paprika, kosher salt, black pepper, and fresh lime juice. Mix thoroughly until all ingredients are evenly distributed.
02 - Place an egg roll wrapper on a clean work surface positioned in a diamond shape with one corner facing you. Spoon approximately 2 heaping tablespoons of the filling mixture onto the lower third of the wrapper, keeping it away from the edges.
03 - Fold the bottom corner tightly over the filling. Fold in both side corners toward the center to enclose the filling. Lightly brush the top corner with beaten egg, then roll up firmly from bottom to top to seal completely. Repeat with remaining wrappers and filling.
04 - Pour vegetable oil into a deep skillet or fryer to a depth of 2 inches. Heat the oil to 350°F, maintaining temperature throughout the cooking process.
05 - Carefully place egg rolls in the hot oil in batches, avoiding overcrowding. Fry for 3 to 4 minutes, turning occasionally to ensure even browning. Cook until golden brown and crispy on all sides.
06 - Remove cooked egg rolls using a slotted spoon or tongs. Transfer to paper towels to drain excess oil. Allow to cool for 2 to 3 minutes before serving.
07 - Arrange egg rolls on a serving platter. Accompany with salsa, guacamole, or ranch dressing for dipping.