Preheat your oven to 400°F (200°C).
Grate the potato using a box grater and place the shreds into a clean kitchen towel, squeezing tightly to remove as much moisture as possible.
Finely dice the red onion.
Heat the ghee in an oven-safe skillet over medium-high heat, then add the shredded potatoes and onions.
Press the potatoes down into a flat layer and cook for 5-7 minutes until the bottom is golden and crispy, then flip and cook for another 3 minutes.
In a medium bowl, whisk together the eggs, egg whites, Greek yogurt, sea salt, and black pepper until the mixture is completely smooth and combined.
Pour the egg mixture directly over the crispy potato hash in the skillet.
Transfer the skillet to the oven and bake for 12-15 minutes, or until the eggs are set in the center and have slightly puffed up.
Remove from the oven, garnish with freshly chopped chives, and slice into wedges to serve.