So i wanted to make a "Lenin walks around the world" joke and tried to find out when the sun sets at the Pole of Inaccessibility again. I still don't know, but it turns out that earlier this year, a Chinese woman was the first person ever to reach this statue on foot. She had to hike 1800km across the Antarctic for that, as the pole marks the point furthest from any Antarctic coastline. It's also the point with the lowest average temperature on the entire planet.

https://www.waponline.it/the-southern-pole-of-inaccessibility-camp-wap-rus-new/