Preheat the oven to 350°F (175°C). Spray a 9x13-inch glass baking dish with non-stick cooking spray.
In a large bowl, crack in the eggs and add the milk, water, salt, and the cooled melted butter.
Whisk the mixture until well blended and slightly frothy.
Pour the egg mixture into the prepared baking dish and place it in the preheated oven.
Bake uncovered for 10 minutes, then remove and gently stir the eggs to break up any set edges.
Return the dish to the oven and bake for an additional 12 minutes, until eggs are mostly set but still slightly soft; they will finish setting as they rest.
Fluff the baked eggs with a spatula, taste, and season with additional salt and pepper if desired. Serve warm.