Hooker does not offer to resign

The question is as it stands, if Hooker was not removed from command of the army of the Potomac how would the gettysburg campaign have turned out.

Assuming of course in this situation there is even a battle at
Gettysburg as Hooker in his original plan to organize the Harper's Ferry Garrison and Twelfth Corps into an expeditionary force and throw them into Lee's rear, and disrupt Lee's supply lines which of course never happened due to the bad blood between him and Halleck.

But in this hypothetical situation Hookers does not lose his temper and offers his resignation, how would another campaign between Joseph Hooker and Robert Lee play out.

 
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