Unwashed eggs can also be stored in a water-lime solution for potentially years. It's called water glassing.They might not taste as good as fresh eggs, but like

Unwashed eggs can also be stored in a water-lime solution for potentially years. It's called water glassing.They might not taste as good as fresh eggs, but like for an omelet with flavorings, you probably wouldn't notice, and you definitely wouldn't notice for baking, but I guess there are powdered eggs for that.