Dice the Russet potato into small 1/2-inch cubes to ensure even cooking and maximum crispiness.
In a large non-stick skillet over medium-high heat, cook the ground turkey with the garlic powder, half the salt, and half the pepper until browned; remove from pan.
Wipe the skillet clean, add the olive oil, and toss in the diced potatoes with the smoked paprika and remaining salt and pepper.
Cover the skillet and cook the potatoes for 8-10 minutes, stirring occasionally, until the edges are golden-brown and the centers are tender.
Return the cooked turkey to the skillet and add the baby spinach, stirring for 1-2 minutes until the greens are just wilted.
Sprinkle the shredded cheddar cheese over the mixture, cover with a lid for 60 seconds until the cheese is bubbly and melted, then remove from heat.
In a separate small non-stick pan, fry the egg to your desired doneness, keeping the yolk slightly runny for a rich sauce.
Transfer the hash to a plate, top with the fried egg, and garnish with freshly chopped chives before serving.