Peel the sweet potato and dice into small, uniform 1/2-inch cubes to ensure even cooking.
Heat the avocado oil in a large cast-iron skillet over medium-high heat until shimmering.
Add the sweet potato cubes to the skillet in a single layer and cook for 8-10 minutes, stirring occasionally, until tender and golden-brown.
Push the potatoes to the outer edges of the skillet and add the ground beef to the center, breaking it apart with a wooden spoon.
Add the diced onions and bell peppers to the skillet with the beef.
Season the entire mixture with sea salt, black pepper, smoked paprika, and garlic powder.
Sauté everything together for another 5-7 minutes until the beef is fully browned and the vegetables are soft.
While the hash finishes, heat a separate small non-stick pan over medium heat and fry the egg to your preferred level of doneness.
Transfer the hash to a plate and top with the fried egg to serve immediately.