Vega’s magnitude is + 0.1. What would its magnitude be if Vega moved away from us at a distance of 1000 times further?

Vega’s magnitude is + 0.1. What would its magnitude be if Vega moved away from us at a distance of 1000 times further? Would she then be visible to the simple eye?

Bega’s apparent magnitude would be 15.1.

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