Yes, drop off is right in front. I would be there between 4:45- 5, MesaGateway is very easy and quick on getting you through.
The airlines suggest you arrive up to 2 hours before your flight. If you are not parking, already have a boarding pass and only have a carry on, you should be ok arriving in the 1 hour to hour and a half range depending on your familiarity of flying. There is a passenger unloading zoning right in front of the door for the security checkpoint.
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