Other mistake: At the beginning when the plane is flying, it appears to crash into the dome from the outside. The curve of the Dome goes from the top right to bottom left and the plane crashes from the left so it is on the outside. But the wreckage falls down inside the Dome.
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Suggested correction: The plane was always inside the dome. When we see Barbie and Joe at the dome wall, the camera angle changes to the opposite side. We see Barbie looking up at the plane as it crashes into the inside wall, which he wouldn't have been able to do if the plane was outside and in front of him.
