The discovery of a binary star system near Sagittarius A* proves that extreme gravity isn't always destructive to star systems. This finding hints at the potential for planet formation around young stars in such environments, suggesting that black holes might not be as inhospitable as thought, thus expanding our cosmic understanding and observational possibilities.
Planets, especially Earth-like ones, can't live near black holes due to extreme conditions — intense space weather, time dilation disrupting communication, overwhelming radiation and heat, a flood of neutrinos causing further heating, and lacking protective atmospheres against these hazards, making life unsustainable. We shouldn't get our hopes up about finding planets with anything resembling life in the vicinity of this binary system.