01 - Preheat the oven to 425°F. Line a rimmed baking sheet with parchment paper.
02 - Bring a large pot of generously salted water to a rolling boil. Add the baby potatoes and cook for 12–15 minutes until fork-tender. Drain well and let cool slightly.
03 - Arrange the boiled potatoes on the prepared baking sheet. Using a flat spatula or the bottom of a heavy glass, press each potato firmly to flatten it. Drizzle with olive oil and sprinkle evenly with garlic powder, smoked paprika, salt, and pepper.
04 - Roast the smashed potatoes for 18–22 minutes, flipping halfway through, until deeply golden and crisp on the edges. Remove from the oven and set aside.
05 - While the potatoes roast, season the ground beef with salt, pepper, and Worcestershire sauce. Mix gently and form into 4 equal loosely packed balls, being careful not to overwork the meat.
06 - Heat a large cast-iron skillet or flat griddle over medium-high heat until smoking. Working in batches if needed, place beef balls onto the hot surface and smash firmly with a sturdy spatula to flatten into thin patties. Cook 2–3 minutes per side until a deep brown crust forms and the meat is cooked through. Remove and set aside.
07 - In a small bowl, whisk together the mayonnaise, ketchup, yellow mustard, pickle relish, apple cider vinegar, garlic powder, onion powder, and paprika until smooth. Season with salt and pepper to taste.
08 - Divide the crispy smashed potatoes among 4 bowls. Layer each with shredded lettuce, diced tomato, red onion slices, pickle chips, and shredded cheddar. Crumble or slice the burger patties over each bowl and drizzle generously with the special sauce.
09 - Serve immediately while the potatoes and burgers are still hot.