Wash and dice the Yukon gold potato into small 1/2-inch cubes to ensure even cooking.
Heat a large cast-iron skillet over medium-high heat and add the ghee.
Add the diced potatoes to the skillet in a single layer, seasoning with a pinch of sea salt and black pepper.
Cook the potatoes for 8-10 minutes, stirring occasionally, until they are tender and develop a crispy golden-brown exterior.
Push the potatoes to the side of the pan and add the ground beef and diced onions to the center.
Break up the beef with a wooden spoon and cook until browned and no longer pink.
Stir in the diced red bell pepper, garlic powder, and smoked paprika, mixing everything together in the skillet.
Sauté for another 3-4 minutes until the peppers are tender-crisp.
Create a small well in the center of the hash and crack the egg into it.
Cover the skillet with a lid for 2-3 minutes until the egg white is set but the yolk remains slightly runny.
Remove from heat, garnish with freshly chopped parsley, and serve immediately.