The farthest known galaxy is estimated to be over 13 billion light years away.?

we dont (and there is a good chance it aint)

we can never know

("Something to think about. Our galaxy the Milky Way is 13.5 billion years old so it is just as old as the farthest one we can see. We are still here so it is still there"
I wish you would do some thinking "acatek" - cos this is just cr//p
we can only see things that we can see - what we cant see are things that ceased to exist - and there could have been stars that ceased to exist 13,5 bill years ago (or more) and the ones we see are only say 10 bill light years away - There could also be stars that are there but are too dim for us to see - so the age of the galaxy does not depend on how far we can see

"We are still here so it is still there" - yet more cr//p
the earth has existed for 4bill years - the light from that star/galaxy started out 13 bill years ago - - to it started its journey 9 bill years before the earth even existed - NOW lets support that star ceased to exist 5 billion years ago so light from it would have ceased 5bill years ago (still before the earth existed ) WE would still be receiving light from it and will STILL get light from it for another 500million years
So the earth would have been getting light from that star for 5billion years but the star would not have existed for any of those 5billion years
so WE are here but the star aint there, and aint been there for the whole time we been here)

We don't know if it is still there NOW because the farther away a gala y is the faster it is moving a way from us because the entire Universe has been expanding since the Big Bang. The Hubble constant is not"constant." The galaxies are not at fixed locations in the Universe relative to one another.

Go over there and check it.

We actually don't
It could even still exist but moved to the opposite side of the Universe
We can only study what we can see
With the Universe being infinite, we will never find the edge

Galaxies move over time, might collide and be consumed. That is what will happen to ours when it runs into the Andromeda spiral, M31. And already our galaxy has shredded and eaten several small galaxies. No way to gauge if any particular galaxy still is where we see where it was 13 billion years ago. Also stars in the galaxies age, shrink and die, or explode and create new stars, planets, and lots of other stuff. Might not be at all the same shape or contents after so long a time.

Yes, we can see it's location where it was. We understand the rules for how galaxies move pretty well, so we can compute where it is "now". Galaxies don't magically zigzag around the universe.

How much over Norman? The big bang happened 13.7 billion years ago, now that was the start of our universe. Unless I'm behind on that, about 700/900 million years after the Big Bang the first galaxies and stars are thought to have appeared.

We have no way of knowing whether it still exists. If it stopped existing yesterday, we wouldn't notice for 13 billion years

I do not see how we can really know, there must be some speculative basis for such a thing.

Light left the furthest galaxies 13 billion years ago but space has been expanding since then. Now that galaxy is 45 billion light years away.
We can not know if it really is there now. Probably not. Most of its stars would have burnt out by now.