We are seeing light that is 10 years old relative to Earth. A light year is just a measure of the distance light travels in a vacuum in 1 earth year. If that star died out at the moment you’re observing it, it would take 10 years before the point of light would disappear from our sky and we’d have no way of telling otherwise until then. As any other indication of the loss of the star would take 10 years to reach us (or more)
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