Well it doesn't matter that a mutation CAN be beneficial and "information poor". Evolution doesn't care about your ideas of intormation - evolution won't reject a beneficial mutation (or even a neutral mutation) just because it increases information. So how is it possible that information can't be increased by evolution ?
You're also stuck on the idea that evolution has a specific goal in mind. It doesn't. Evolution isn't trying to produce a specific result. There's no point setting up hypothetical situations where evolution wouldn't do what you would like it to do. That proves nothing.
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You will not get a long line of consecutive mutations to that one gene untill it becomes a new gene. Thats like telling the cells to be very precise when making there copying mistakes lol.
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Why not ? What stops the changes from adding up ? Remember that the protein produced by the gene could be recruited - and optimised - for new functions, quite different from the original use. Why can't these changes add up to the point where the gene would have to be considered a "new gene" by whatever criterion you are using ?
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You can change the gene frequency or the ratio of the genes that are already present as much as you like, but unless you add new genes you won’t get evolution.
That's pretty obviously wrong. How would a new beneficial mutation appearing and spreading through a population not be evolution ? How about a series of such changes adding up to a new species ? Or to a new genus ? Why would that not be evolution even if it doesn't involve what you call "new genes" ?