Slice the croissant in half horizontally and toast in a dry pan or toaster oven until the edges are golden and crisp.
In a medium bowl, whisk together the whole egg, liquid egg whites, Greek yogurt, sea salt, and black pepper until completely smooth and slightly frothy.
Heat a non-stick skillet over medium-low heat and melt the ghee, swirling to coat the bottom of the pan.
Dice the smoked turkey breast and add it to the pan, sautéing for 1 minute until warmed through.
Pour the egg mixture into the skillet and let it sit for 30 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.
Continue cooking over low heat, stirring occasionally, until the eggs are mostly set but still look moist and creamy.
Remove the skillet from the heat and fold in the fresh chives.
Spoon the creamy egg mixture onto the bottom half of the toasted croissant and top with the remaining half to serve.