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On the other hand, if a good mutation is caused by a loss of information, then its regressive and for the sake of evolution it is bad, because evolution requires that the creature be more fit AND write data from scratch that makes sense.

Wrong. Maybe we could call this IFE, Irish_Farmer's Evolution. Evolution as understood by biologists does NOT require data to be created from scratch at all. It only requires change and whether this change comes from deactivating gene expression, activating a dormant gene, inserting bases, or shuffling bases around is IRRELEVANT.

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Evolution requires progressive or non-regressive mutations.

Still wrong. Where did you get this idea in the first place?

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Since we never see things appearing out of nowhere, then tell me why your example even matters now.

If they appeared out of nowhere we would have creationism, but you are right: they don't.