Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper for easy cleanup.
Place the diced sweet potato, diced bell pepper, and sliced red onion on the sheet pan, then crumble the raw ground turkey over the vegetables.
Drizzle the mixture with olive oil and sprinkle evenly with sea salt, black pepper, garlic powder, and smoked paprika.
Use your hands or a spatula to toss everything together until well coated, then spread into a single even layer.
Roast in the center of the oven for 20 minutes, or until the sweet potatoes are tender and the turkey is thoroughly cooked.
Remove the pan from the oven and use a spoon to create three small wells in the hash mixture.
Carefully crack one egg into each well and return the pan to the oven for 5 to 8 minutes, until the egg whites are opaque and set.
Serve immediately while hot, ensuring each portion includes an egg and a generous serving of the turkey and potato hash.