Dice the russet potato into small 1/2-inch cubes to ensure they cook quickly and evenly.
Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the ground beef to the skillet, breaking it up with a spatula until browned and cooked through.
Remove the beef from the skillet and set aside, leaving any 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 tender.
Stir in the diced onion and red bell pepper, cooking for another 3-4 minutes until softened.
Return the cooked beef to the skillet and season the mixture with sea salt, black pepper, and garlic powder.
Create two small wells in the hash and crack one egg into each space.
Cover the skillet with a lid for 2-3 minutes until the egg whites are set but the yolks remain slightly runny.
Sprinkle the shredded cheddar cheese over the top and allow it to melt before serving warm.