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Here's something you could try if you have a dslr and a wide angle lens. Take different pictures with it changing the focal length and aperture and you'll see that every picture is slightly different even if you're photographing the same thing. From the pictures in the thumbnail of the video, you can clearly see that most of the pictures are taken with different cameras entirely meaning no two "earths" are the same.
But just to be clear, you think the world is flat? What do you think NASA has to gain by manipulating the earth?

I believe the world is neither flat nor a ball, and what you get buy withholding such information is the power to keep all humans as stupid sheep.

Now, your suggestions about different camera lenses does not really work.
On earth, a camera lens will show more or less of the scene in front of you.
And since the camera lens is round, it will distort this scene, more or less depending on the zoom.

However, when you are far enough out that you can see the entire circle that is earth, there isn't enough distortion to basically change the size of land masses. You have the entire entity in the picture.

You can see this if you take a camera with different focal lengths and make sure the entirety of the subject is within the viewfinder, and notice the lack of distortion.

Then what is it if its not a sphere? I really don't see the benefit of manipulating images and changing the shape of landmasses. It really doesn't effect anyone.
You seem to understand how cameras work, but these images come from different satellites using different cameras, using different lenses. Also, NASA isn't the only organisation that sends satellites into space and have photographed the earth. If they were being deceptive surely other space agencies from other countries would have called them out on it.

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