In a medium glass bowl, vigorously whisk the whole eggs and egg whites with sea salt and black pepper until the mixture is uniform and aerated for maximum fluffiness.
Place the sourdough slices in a toaster or under a broiler until they reach a crisp, golden-brown texture.
Melt the ghee in a high-quality non-stick pan over medium-low heat. Add the baby spinach, tossing gently for 1 minute until it just begins to soften.
Lower the heat to low and pour in the egg mixture. Using a silicone spatula, slowly sweep the eggs from the outer edges toward the middle, allowing large, soft curds to form without browning.
Once the eggs are nearly set and look custardy, gently fold in the flaked smoked salmon to warm it through.
Divide the velvety egg and salmon mixture over the toasted sourdough slices.
Finish the dish with a sprinkle of finely minced fresh chives for a bright, herbaceous pop of flavor.