Among the options listed, the Andromeda Galaxy is the farthest from Earth. It is approximately 2.537 million light-years away, while Barnard's Star is about 5.96 light-years away, the Triangulum Galaxy is around 2.73 million light-years away, and Neptune is only about 4.3 billion kilometers (approximately 0.000014 light-years) from Earth. Therefore, the Andromeda Galaxy is the farthest object on this list.
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