This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2022. The accepted answer to this question will be awarded a bounty worth 50 reputation.
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It's difficult for Santa to visit every household in the world on Christmas Eve. As such, his chief elf has devised a genius route that maximises the efficiency of the magic sleigh, despite its seemingly random misgivings. However, as the big day approaches, Santa realises that he cannot remember most of the route! The chief elf has now retired and taken all his important documents with him to sunny Bermuda, and Santa won't be able to contact him in time...
The route consists of many stops where Santa is allowed to take a 5-minute break from slipping down chimneys, and some major checkpoints where he has elves ready to replenish the magic dust for the reindeer. He remembers the start quite well; he needs to head due south and eventually end up at the border town of Lethem, Guyana where he can take his first break. He takes more breaks at the southern-most city in Colombia before heading north to Arauquita, in the same country. He finally gets to take his first checkpoint, in Armenia. After Armenia, he needs to complete the Australian leg of the journey. He stops in the small mining village of Karara, WA on his way to another WA town, Carnarvon. From there it's a fair way to his next stop in Collarenebri before a major checkpoint in Coober Pedy.
Santa's reindeer have helped him remember most of the route after that, but where Santa's really stuck is right at the end. He's figured out he's at his final checkpoint - the beautiful Turneffe Atoll in Belize - the only problem is he has no clue how to make it back to the North Pole afterwards.
Can you help Santa remember the final leg of the route and save Christmas?