WoW, thank you moodog. That is important to my research. Have a nice day!
Triangle routes like this are fairly common. For example, during the 1980s, AA operated stuff like JKF-FDF-PTP-JFK. Since FDF and PTP are both located in overseas French territories, AA would have needed 8th freedom rights in order to sell tickets on the FDF-PTP sector. Apart from the fact that 8th freedom rights are rarely granted, it wouldn't have been worth their effort. For a brief period, they swapped in SXM (an airport located on the Dutch side of St. Martin/Maarten) for FDF or PTP, so they theoretically could have served that sector in isolation using 5th freedom rights (flying between two different countries), which are much easier to obtain than 8th freedom, but I don't think they bothered to apply (the incremental revenues would have been trivial and created additional operational variables).