The jetport does close @1230am security takes 30min or less at most times and TSA is there 3am
I have found this is one of the easiest airports to get in and out of, if there is a wait pull up a rocking chair and enjoy the view.
Try to be there an hour to an hour and a half before you're flight, flights typically start at 5:30 AM, I do not believe that the Jetport ever actually closes.
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