Pretty trivial on a bipolar model so really not sure what your issue is, no different to the east/west issue even on the classical model, but as a side note what does pacmanning mean in this context because maybe there's a slang definition i don't know but i checked and i sincerely hope it's not one of them.
https://www.urbandictionary.com/define.php?term=pac-manning
By pacmanning I mean the idea that you disappear from one part of a map and reappear in another - in Pac Man you go through the tunnel on the right of the screen and reappear on the left.
It's a common criticism by RE that you would have to do that in order to circumnavigate a flat earth. I actually accept that in a unipole FE model you wouldn't have to do that to circumnavigate the "globe" going East or West because "East" and "West" would go round in a circle as the Wiki states:
https://wiki.tfes.org/Circumnavigation
But how could one do a circumnavigation over both Poles? The uni-pole model only has one. And on a bi-polar model how would circumnavigation work either East-West or North-South?
I've shown both models here. On the top one the red circle shows an East-West circumnavigation. I'm not clear how that would work on the bi-polar model or how North-South would work on either model:
Maybe the problem is these maps are not accurate but could you either annotate the above with how circumnavigation would work both East-West and North-South on the bi-polar flat earth model? You say it's trivial, can you show your workings?
It is quite easy to do a north to south circumnavigation on a bi-polar map tbh. just follow the vertical lines (though this doesn't work at 0 longitude).
Doing a east to west circumnavigation you would follow the lines aswell horizontal (though this doesn't work at the equator).
It is still ridiculous and the distances would not be able to be measured on a map, and the plane would still need to turn left/right the entire flight.
Only on a spherical earth would it be possible to have these flights going completely straight while simultaneously following east/west/north/south directions.
Only on a spherical earth would the measurements on the map match the flight times and distances.
With ANY flat earth map, everything works relatively fine for the center parts of the map, but when you reach the outer parts it will fall apart flat as reality kicks it while its trying to make excuses.
Flying from America to India on a bi-polar map becomes meaningless and the shapes of continents on the bi-polar map are even more absurd than on the mono-pole map.