Peel and dice the sweet potato into small, uniform cubes to ensure even cooking.
Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the diced sweet potatoes to the skillet and cook for 8 to 10 minutes, stirring occasionally, until they are tender and deeply caramelized.
Add the diced red onion and ground turkey to the skillet, breaking the meat apart with a spatula until fully browned.
Stir in the rinsed black beans, sea salt, black pepper, smoked paprika, and garlic powder, allowing the flavors to meld for 2 to 3 minutes.
Create a small well in the center of the hash and crack the egg directly into it.
Cover the pan with a lid for 2 minutes or until the egg white is set but the yolk remains runny.
Slide the hash onto a plate and serve immediately while hot.