How to Make It

Set a large, heavy skillet over medium-high heat. Add a drizzle of oil and cook the patties, sprinkling with salt, for 8-10 minutes, or until just cooked through. Top with cheese and cover with a lid or piece of foil for another minute to allow the cheese to melt. Slide the patties onto split buns, add a bit more oil to the pan if it needs it, and cook the eggs sunny-side up or over-easy, to your liking. Top each burger with an egg and a spoonful of chili oil.