Your numbers for how many people who would be in the conspiracy are way off.
For starters, I live in Tasmania, Australia. For the uneducated, it's the little island at the bottom of Australia. "Down Under" as Round Earthers call it, or "Over there" if you're a flat earther.
Anyway, Tasmania is one of the closest points to Antarctica in the world (apart from the southern tip of South America) which means that it is a perfect port for Antarctic exploration.
Many people every year travel to the antarctic via ship and plane, and in the very near future a giant ice runway will be operational, and jet aircraft will be able to travel from hobart international airport to antarctica. At the moment small twin engined aircraft operated by CASA (Civil Aviation Service Authority) fly to and from antarctica regularly. I have seen these planes with my own eyes.
So basically what this means is that as well as your priveledged '45' people who know that Antarctica does not exist (instead there is a giant ice wall), you must factor in the pilots and sailors who travel to Antarctica every year, not to mention paying off scientists who must pretend to live in Antarctica for months at a time.
But i know what you will say "The government pays off these people". Well, according to you, the Australian Government knows nothing about the conspiracy. So this means that American taxpayer dollars are not only going to Americans, but also Australians, New Zealanders, South Africans and multitudes of other people who visit Hobart (capital of Tasmania) every year to go and see Antarctica.
In Hobart there used to be a building called 'Antarctic Adventure'. It was like an antarctic museum and at least 5 scientists there had been to antarctica. This means they had all been payed off by the American government as Antarctica does not exist. America is really wasting a lot of money by simply keeping such a trivial fact secret. I know that NASA is getting rich off this, but i truly believe that somebody in the world would care more about science than money. Just think of the people who live in Antarctica. They are doing this simply for love of science and a challenge. Of all the thousands of people who have visited antarctica i believe that SOMEBODY would have spilled the beans and told others that it doesnt exist, but rather there is a large ice wall which keeps all the water from sliding out of the oceans.
Finally, from wikipedia "the Emperor Penguin (Aptenodytes forsteri) is the tallest and heaviest of all living penguin species. It is endemic to Antarctica, and is the only penguin species that breeds during the Antarctic winter."
I looked up Wikipedia because it was convenient. I'm sure similar facts would be in black and white in more 'reputable' encyclopedias. If antarctica does not exist, then where do these animals live? Of all the countless documentaries made about Emperor Penguins, none mention the fact that these live on a giant ice wall. Yes, i know, i know, the government must pay off all the documentary makers.
Even if i havent proved that Antarctica exists and therefore the earth is round, surely i will have made you re-think your ridiculous conspiracy theory numbers.