Make the burger by combining ground beef, mayonnaise, salt, pepper, onion powder, mustard powder, garlic powder, parsley, thyme, and paprika in a mixing bowl. Use your hands to mix the beef until you have a consistently pink, smooth mixture. Form the beef into a thick patty without any cracks around the edges. Next, heat the olive oil in a pan over high heat. Once the oil is hot, place the patty down in the pan. Use a spatula to gently press the patty down so it’s under 1-inch thick.
Cook the patty on one side until it starts to char. Then, reduce the heat to medium and let it continue cooking for another 1-2 minutes. Then, flip the burger over and cook for an additional 3 minutes until it’s charred on the other side. This makes a medium-well burger. You can adjust the cooking time for the level of doneness you want for your burger. Set the burger aside, but you’ll need it again in the next step.
Place a new, clean non-stick pan on your stove. The pan must be at least 10 inches wide and have a non-stick or cast-iron coating. Spread the cup of shredded cheddar out in the base of the pan to make a thin circle that will become your wrap. Heat the cheese over high heat and watch for it to melt, bubble, release excess fat, and turn dark orange. Just before the center of the cheese wrap starts turning dark, place your burger patty in the center of the cheese.
Immediately reduce the stove heat to its lowest setting. Use a spatula to start lifting one edge of the hardening cheese and fold it over the burger. Continue lifting the edges and folding the cheese over the burger in a circle around the pan until all the cheese is wrapped around the burger. Flip the burger over so the edges are tucked under it and set it on your serving plate. Next, thin-slice the avocado and arrange it on your plate. Sprinkle pinches of salt and pepper over the avocado and serve with a squeeze of lemon juice.