01 - Pat the steak dry with paper towels and season both sides generously with salt and freshly ground black pepper. Heat olive oil in a cast iron skillet over high heat until shimmering. Sear the steak for 2-3 minutes per side for medium-rare, adjusting time to your preferred doneness. Transfer to a cutting board and rest for 5 minutes before slicing thinly against the grain.
02 - Place the grated potatoes and onion in a clean kitchen towel and squeeze firmly to remove all excess moisture. Transfer to a mixing bowl and combine with flour, one beaten egg, salt, and pepper. Mix until evenly incorporated.
03 - Heat 2-3 tbsp vegetable oil in a large nonstick skillet over medium-high heat. Scoop approximately one quarter of the potato mixture for each hash brown and flatten into even pancake shapes. Cook for 4-5 minutes per side until deeply golden and crisp. Drain on paper towels.
04 - Melt butter in a nonstick skillet over medium-low heat. Fry the eggs to your desired doneness, sunny side up or over easy recommended. Season lightly with salt and pepper.
05 - Place one hash brown on each plate. Layer with sliced steak, a generous sprinkle of cheddar cheese, and a fried egg. Finish with sour cream, green onions, avocado slices, and fresh chives.
06 - Serve immediately while hot for the best texture and flavor.