Originally Posted by
GloverParker
Just did this last week -- yes, you have to go through immigration but it's quick. I had a 75 minute turnaround and had no problems making it.
Thanks
GloverParker!
At the end I did not have to go through immigration. When I disembarked in PUJ I contacted a local AA employee, who was quite puzzled with the itinerary

, and he gave me access to the transit area.