Dice the russet potato into small, uniform half-inch cubes to ensure even cooking.
Heat the olive oil in a large cast-iron skillet over medium-high heat.
Add the ground beef to the skillet, breaking it apart with a spatula until browned and cooked through.
Remove the beef from the skillet and set aside, leaving the rendered fat in the pan.
Add the diced potatoes to the skillet and cook for 8-10 minutes, stirring occasionally, until they are golden and crispy.
Stir in the diced onions and bell peppers, cooking for another 5 minutes until softened.
Return the beef to the skillet and season with sea salt, black pepper, garlic powder, and smoked paprika.
Create two small wells in the hash and crack the eggs into them, covering the pan for 2-3 minutes until the whites are set.