01 - In a large bowl, mix ground turkey, finely chopped onion, minced garlic, Dijon mustard, Worcestershire sauce, salt, black pepper, breadcrumbs, and egg until just blended.
02 - Shape the mixture into four equal-sized patties.
03 - Heat 1 tablespoon olive oil in a large skillet over medium heat. Cook turkey patties 5 to 6 minutes per side until golden and fully cooked. During the final minute, top each patty with cheddar cheese and cover the pan to melt.
04 - In a separate frying pan, cook bacon slices until crisp. Drain on paper towels.
05 - Wipe out the bacon pan and add remaining oil or butter. Fry eggs sunny-side up or to preference; season with salt and pepper.
06 - Lightly toast brioche burger buns.
07 - Combine mayonnaise and hot sauce if using. Spread evenly on cut sides of buns.
08 - Layer lettuce and tomato on bottom bun, add turkey patty with melted cheese, avocado slices, two bacon strips, and fried egg. Cap with top bun.
09 - Serve immediately while hot.