In the volume of space you've selected there are still a lot of potentially hospitable stars.
So? Which one was the dart closest to?
Umm, Colonel, given the scale of your giant dart-board, the hole made by the captain's dart is fifty light-years across.
That's fine. Measure from the center.
And on a flat map, it's about 10,000 light years deep.
Admit it... You just don't like being spontaneous.