In a medium bowl, whisk together the large eggs and liquid egg whites until the mixture is uniform and slightly frothy.
Place a non-stick skillet over medium-low heat and add the ghee, swirling to coat the bottom of the pan.
Add the baby spinach to the skillet and sauté for 1 minute until just wilted, then season with a pinch of the sea salt.
Pour the egg mixture into the skillet and let it sit for 20 seconds until the edges begin to set.
Using a silicone spatula, gently push the eggs from the edges toward the center, creating large, soft curds.
When the eggs are nearly set but still look moist, sprinkle the shredded sharp cheddar cheese over the top and fold gently to incorporate.
Remove from heat immediately to prevent overcooking, then season with the remaining sea salt, black pepper, and fresh chives before serving.