In the US at least store eggs are generally pre-washed

If an egg from the coop is a little shitty its still best not to for shelf-life purposes, washing removes the protective coating and contracts the contents so bacteria gets pulled inward

If a coop egg is wet-shitty then yes, and then i'll put it in the fridge and try to use it before it can get funky... but wouldnt use it in raw form (for things like mayo)