If we consider the black hole with geodesic lines, as in this illustration of geodesic lines,
I believe that at a given moment, since the light follows its geodesic lines, it will emerge outside the black hole.
If this is true that light can't escape from black hole, then does it mean that this representation with geodesic line is wrong ?
If the light escapes from black hole, it could still be compatible with the fact that we don't see the light, because light could emerge at a completely different angle. Not seeing the light is not a proof for stating that the light does not emerge, since the light could emerge in another direction.
If this schematic would be a genuine illustration of the behaviour of the black hole, it would be clear that light emerge : just imagine the line quoted "5" that goes very deep : at a given moment, even if we wait centuries, the light will go up, since the geodesic lines enter the well and exit the well.
Even if you would say for example : there is singularity : the well is infinite (is it ?), then still, the light would emerge, after an infinite time.
What concretely means that there is singularity ? If this means "actually, we don't know", then I don't understand why people say "we know that light does not emerge".
Don't shout on me : I am of course not a specialist of black holes...