Since Flat Earth people are so interested in using what they can observe in order to prove what's going on, let's get on some hypothetical flights around the world.
According to your map on your Wikipedia, a flight from Santiago, Chile to Auckland, New Zealand should take a really long time. Using Expedia (use whatever site you want, it doesn't matter), if you travel from Santiago to Auckland it's about a 13 hour flight. That's a long time to sit on your butt, but it's not as long a flight as going from say, Anchorage, Alaska to Helsinki, Finland! That's a 14 hour flight, according to Expedia.
So, how is it, Flat Earthers, that traveling from Santiago to Auckland is an hour longer then traveling from Anchorage to Helsinki? According to your map, Anchorage to Helsinki should be a very short flight - just right over the arctic. Maybe a few hours at most.
Furthermore, if your map was right, and you traveled from Santiago to Sydney (on the southern coast of Australia), you should in theory see land most of the way there, but that's not what you'd see at all - it would mostly be ocean, and it would land in Auckland, and the connect to the Australia mainland.
In fact, if you go to
https://flightaware.com/live/ you can see flights around the world as they happen. I'm looking at one right now that left Santiago and is flying to Melbourne directly. And it has this hugely curved flight path. Why would the flight path be curved? That makes no sense. If the Earth was flat, this flight path would be a straight line. The airlines aren't interested in wasting gas, and wasting everyone's time.