Heat the olive oil in a large cast-iron skillet over medium-high heat.
Add the diced sweet potatoes to the skillet and cook for 5-7 minutes, stirring occasionally, until they begin to soften and develop a golden-brown crust.
Add the ground turkey to the skillet, breaking it into small crumbles with a spatula, and cook until no longer pink.
Stir in the diced onions and bell peppers, continuing to cook for 3-4 minutes until the vegetables are tender and fragrant.
Season the entire mixture with sea salt, black pepper, garlic powder, and smoked paprika, stirring well to distribute the spices.
Add the baby spinach to the pan and toss for about 1 minute until the leaves are just wilted.
Use the back of a spoon to create three small wells in the hash and crack one egg into each opening.
Cover the skillet with a lid and cook for 3-5 minutes, or until the egg whites are fully set but the yolks remain slightly runny.