About time being frozen in light speed?

Andromeda galaxy is 2.2 million light years away.

For those of us in Earth, 2.2 million light years pass for the light to come to Earth.

But for the light itself, no time passes, which means everything happens right away for the light itself, right?

According to light, it comes right away to Earth.

According to us in Earth, it comes in 2.2 million years.

Did I get it correct?

About time being frozen in light speed?
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