Preheat the oven to 425°F (218°C). Whisk egg whites, full-fat dairy, and half of the feta and Parmesan in a bowl.
Heat olive oil in a large oven-safe skillet over medium heat. Cook mushrooms for about 5 minutes, until softened and their moisture has mostly cooked away. Add spinach and cook for about 1 minute, until wilted. Season with salt.
Pour the egg mixture into the skillet and cook for about 30 seconds, until the outer portion begins to set. Sprinkle the remaining feta and Parmesan over the top.
Bake at 425°F (218°C) for 8–10 minutes, until set and the center reaches 160°F (71°C). Let it settle briefly, then slice into 8 pieces and serve warm or at room temperature.