Cheeseburger Egg Roll Crispy egg? My State Fair Secret!

Ingredients

• 1 lb (454g) ground beef (80/20 blend recommended for flavor)
• 2 teaspoons (10g) kosher salt
• ½ teaspoon (1.25g) black pepper, freshly ground
• ½ medium yellow onion, finely diced (approx. ½ cup/75g)
• ½ cup (75g) dill pickles, diced (Claussen recommended for crunch)
• 2 cups (200g) cheddar cheese, shredded (sharp cheddar adds a nice kick)
• 17 egg roll wrappers (check expiration date; fresh wrappers are easier to work with)
• Canola or vegetable oil, for frying (approximately 4-6 cups)
• 1 large egg
• 1 tablespoon (15ml) water
• ½ cup (120ml) mayonnaise (full-fat for best flavor)
• 3 tablespoons (45ml) sweet pickle relish
• 1 tablespoon (15ml) yellow onion, very finely minced (use a microplane or finely chop)
• 1 tablespoon (15ml) white vinegar
• 2 tablespoons (30ml) ketchup
• 2 teaspoons (10ml) yellow mustard
• ½ teaspoon (2.5ml) paprika
• ¼ teaspoon (1.25ml) onion powder
• ¼ teaspoon (1.25ml) salt