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If I were Lee and me, in between the second and third days of Gettysburg, with his desires and my knowledge of the next couple of years IOTL I would not try anything like Pickett's charge. I would want to threaten Washington, Philadelphia, or Baltimore. I think the USA forces would have to abandon their strong points and follow me, maybe even try to get in front of me. I would have Stuart and his forces staying close to them, to give me the word if they get on hard to defend ground, or become sufficiently disorganized.
If the right time ever came, I would pounce.