Why don't you make another thread about that? You are just moving the goal posts.
This thread is why can't you see thousands of miles in a straight line to a mountain, and everyone would agree that visibility would prevent you doing so ... including meteorological offices that publish visibility figures each day.
https://www.timeanddate.com/weather/usa/new-york
Today in New York, visibility is 13km. Are you going to tell me that in New York there was no sun rise this morning, or that the sun is closer than 13km?
Stars aren't mountains. Learn what visibility is.
Could you see the sun this morning? I don't mean to move goalposts or get off topic. The topic is about seeing a mountain in the distance. If we're discussing how far we can and cannot see into the distance, I think it's useful to use other objects seen in the same way to compare with.
It is my understanding that Everest is 7,500 miles from New York. And presumably the Sun at sunrise was where? I'm not sure if we have solid numbers on that, but something like 6000 miles away. That should be somewhat closer than Mt. Everest. Then the stars should be something like 8000+ miles away... an unknown distance farther than Mt. Everest.
So if we're wanting to see Mt. Everest, it should lie somewhere between the Sun and the stars as seen from New York - strictly in terms of distance. This seems pretty on-topic to me.
So I'm hypothesizing... if we can see the Sun clearly, and we can see the stars clearly, we would expect to see Mt. Everest* clearly.
* = It seems likely that something could block our view of it, so really we just want to see a distant mountain that we think we should have a clear view of, or else carefully choose a point from which we should be able to see Mt. Everest.
You with me here? If we cannot see the sun due to atmospheric haze, we do not expect to see Mt. Everest*. If we cannot see the stars due to atmospheric haze, we might not expect to see Mt. Everest*. So we should first establish if we can see both the Sun and the stars. Only if we can see both of those, should we even expect to see Mt. Everest*. Right?