science

Everything that crosses the horizon remains on the horizon in the form of a still afterimage that becomes increasingly redshifted until becoming undetectable.

Some hypotheses suggest that hawking radiation could carry this information back out away from the horizon, but it's only a theory.

The light of the dying star has already long radiated away from the black hole. Once the star becomes a black hole, there's no way for all that light that already escaped to just become captured. See this video here to get a short visual explanation, by the same YouTuber.