In a medium bowl, whisk together the eggs, Greek yogurt, sea salt, and black pepper until the mixture is completely smooth and well-combined.
Heat a non-stick skillet over medium-low heat and melt the ghee, swirling to coat the bottom of the pan.
Add the baby spinach to the skillet and sauté for about 1 minute until just wilted, then spread it evenly across the pan.
Pour the egg mixture into the skillet and let it sit for 30 seconds before using a silicone spatula to gently push the eggs from the edges toward the center.
Continue cooking the eggs slowly, stirring occasionally to create soft, creamy curds.
When the eggs are nearly set but still slightly moist, fold in the smoked salmon pieces, fresh dill, and fresh chives.
Remove the skillet from the heat immediately to prevent overcooking, garnish with capers, and serve warm.