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assuming constant acceleration it kinda does, but constant acceleration requires asymptotic infinite amounts of energy.

As measured relative to the destination, yes, but if so then that means the passengers get crushed under infinite gs.

It would have been better phrased "at which point you can't go any faster relative to the departure location".

Yup, it would take 6 years instead. Ship time ;)

That’s just what it shows after rounding up. The site correctly doesn’t let you enter 1c for velocity since it’s not possible.