Scrub the Yukon gold potato and dice into small, uniform half-inch cubes to ensure even cooking.
Heat a large non-stick skillet over medium-high heat. Add the ground beef, breaking it up with a spatula, and cook until browned and cooked through.
Remove the beef from the skillet and set aside, leaving any rendered fat in the pan. Add the avocado oil if the pan is too dry.
Add the diced potatoes to the skillet in a single layer. Cook undisturbed for 4-5 minutes to develop a golden crust, then stir.
Add the diced red bell pepper and yellow onion to the potatoes. Continue cooking for another 5-7 minutes until the potatoes are tender and the vegetables are softened.
Return the cooked beef to the skillet. Season with sea salt, black pepper, garlic powder, and smoked paprika. Toss everything together to combine and heat through.
In a separate small non-stick pan, fry the egg to your preference (sunny-side up or over-easy is recommended for a silky yolk).
Transfer the beef and potato hash to a plate, top with the fried egg, and garnish with freshly chopped parsley before serving.