Sagittarius A* is a black hole at the center of the Milky Way with at least 45 stars orbiting it. It weighs in at over 4.2 million solar masses and is likely rotating, which has interesting effects on the local spacetime. We've taken photos of it too!
What's of interest to me are the stars orbiting it - and more precisely, the planets those stars may have. I have a world (that I am building) that is set on the forty-five stars orbiting A*, and I'm wondering if it's possible that (assuming systems of habitable planets around the stars) life could have evolved despite the "issues" of living near a black hole. For example, S4714 is one such star and passes as close as 3.3 AU away from the black hole at periapsis (minimum end of the error bars, probably closer to ~12.6 AU according to online figures), which would cause time to slow by about 2%, and has an orbital period of 12 years. Additionally, at periapsis, the star - and all its planets - will be moving at around 8% of the speed of light, which is a gargantuan speed for an entire star system. I know about cosmology and the things black holes like that do to the rest of the Universe, but I don't know what effect that it would have on biological life.
What's the feasibility of habitable and life-harboring planets orbiting the stars that orbit the black hole? And what effect would the short orbital period of the star around the black hole have on the natural cycles on planets orbiting the stars (like how our moon affects life here on Earth)?