so black holes basically mix all the space dust together, condensate everything, let it sit like a dough, and then comes a fresh star? the life cycle of the universe!
Everything a blackhole pulls on already has momentum on it's own, so the black hole's tug causes it to spin around the blackhole. Angular momentum is conserved, so what happens to most matter is that the blackhole grabs it, and slings it hard in another direction, very little actually "falls" in. The stuff it slings out tends to move in similar directions, and that can cause things to clump together and form stars.
Additionally, all the spinning around the blackhole generates heat and radiation, this gets ejected in massive bursts coming out of the rotational axis of the black hole. This stream of energy can hit other dust, heating it up and causing it to condense. This can lead to a birth of a star.
It's long been thought that blackholes can form stars through those methods, but this is the first time it's been observed. Not groundbreaking, but does confirm a theory.
*: offer does not apply to hawking radiation