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Can the timing out by a little make such a dramatic difference in power?
Yes. If the timing belt is off one tooth, you won't get much power. Even if the timing is off only 5 degrees you'll feel a big difference.
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It's running lean on occasion too, what does bagging the engine mean?
How would I know if it happened?
If the engine pings (knocks), with boost even a little bit ... you could break or melt a piston. So listen very carefully.