In a small bowl, whisk together mayonnaise, ketchup, mustard, pickle juice, and smoked paprika. Refrigerate until ready to use.

In a large bowl, combine ground beef with garlic powder, onion powder, smoked paprika, salt, and black pepper. Mix gently.

Divide beef into 4 portions and shape into ¾-inch thick patties, making a small indentation in the center.

Preheat grill or skillet over medium-high heat. Cook patties 3–4 minutes per side, adding cheddar cheese during the last minute to melt.

Lightly toast burger buns on the grill or in a skillet.

Spread special sauce on top and bottom buns. Layer with lettuce, tomato, pickles, optional bacon, and the cheesy beef patty.

Top with the other bun and serve immediately.