Seems OK to me.
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Anonymousis it possible to say "I'm taking the train to go be close to her." ?No. The word go as used here isn't about movement; it means something like proceeding or starting: Go invent something, go be successful, etc. Taking this into consideration, I suggest you write: I'm taking the train to travel close to her.
AnonymousI'm taking the train to travel close to her.That is not a natural English sentence, and it does not mean what the original meant.