Yes, at your peril.
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You may certainly do so at your own peril, and risk not being admitted upon your return.
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While I agree with my colleagues, it seems that you are making some long term assumptions as to the specific date of when your interview will take place.
I always advise my clients not to travel unless absolutely necessary. When dealing with government bureaucracy it is best not to complicate matters.
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If you travel on the AP and your case is denied, you will be stuck outside the US with no way to re-enter.
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