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You're still going off a misconception. Again, the galaxy is not speeding through space. Space is expanding between the galaxies, increasing their distance from one another. And the Big Bang didn't occur at any particular point in space; it occurred everywhere in space because space is a result of the Big Bang. The light from near the beginning of the universe is still in every part of space, but having come from a certain distance depending on how long ago it occurred. For something 13 billion years ago, it occurred 13 billion light years away from our perspective, taking into account the expansion rate of space. But the light from then is very dim now and is difficult to detect, having gone 13 billion light years distance.

By the way, you do know that a light year is how far light travels in one year?

In order for us to receive light that originated 13.0 billion years ago. We have to be 13.0 billion light years from where that object was 13.0 billion years ago. True statement?

So if the galaxy speed is 0 then the entire distance is due to either inflation or the initial distance between the objects at the big bang.

And if the universe was small at the big bang. Say 1 billion light years wide. Then inflation must acccount for 12 billion light years of distance in 13.0 billion light years for us to be in position to receive the light. That means inflation is a high percent of the speed of light