Calimero

Clocks run slower, deeper they are in the gravity field, or faster they are receding from observer.

Question: If we could measure speed of light near the event horizon, or at far away galaxy, by means of measuring from distance, would we measure light going slower there?

I am not asking about measuring speed of light there, or speed of light coming from gravity well, or distant galaxy, and passing us. I am asking what we would measure from here as speed of light there.