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Okay, Yashur, I've thought about it a bit more, and you're probably right.
Any plane is obviously a two-dimensional figure, regardless of where it's placed: in three dimensions, in four... And a sphere can also be described using the same two coordinates, keeping the third (radius) constant. Just like a plane is described by two coordinates, but to determine the position of the plane in 3D space, you need to add more information.
In general, yes, if you call a sphere within a 3D space two-dimensional, there are fewer paradoxes.