It’d take eight minutes for us to see it. The 100,000 years figure is the amount of time it takes for like to move (on average) from the core to the Sun’s surface, after which it takes eight minutes to get from the surface of the Sun to Earth.
Note that it would also take at least eight minutes for any other effect to propagate to the Earth, including things like gravity. So we’d have absolutely no way to detect anything had happened before the light reached us.
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