Visual cliff thought experiment

Imagine looking at a distant star 24/7. At some point due to the space expansion we will be no longer to see it because it would be moving faster than the speed of light, right?

I was wondering how would we see the change of the object that accelerates faster than speed of light. Not necessarily the object but the spacetime itself as I imagine.

Would we see it slowly dimming like a moving candle away or would it suddenly be gone like turning a lamp of for an observer on Earth?

Adding an image for reference. The red line indicates that beyond it objects are moving faster than the speed of light away from the Earth.

So my question would be what would be seen from an observer on Earth if he/she was looking at a start that is passing the red line.

Second question: given that everything is moving away from everything, given enough time we would not be able to see anything. Or this is only true to certain distant objects in space or do we move away from the Sun, the moon moves away from the Earth. And is it universal to scale? Does electrons in an atom move away from its core?