If I remember correctly, the BD is basically a repeat (from different angles and art style) as an early scene in Edgerunners about a cyberpsycho that isn’t really relevant to the plot.
I played through that quest and it was what got me to finally watch Edgerunners. I didn’t feel like anything was spoiled, other than knowing who would come out on top of one action scene.
Anime is great, watch it about midway through your playthrough for the best impact imo, you’ll understand the world at that point and get the most out of it.
I would say edgerunners is a slice of life anime based in Night City. There are bunch of Easter eggs between the show and the game. You would be able to find locations in the game as you would see them in the show. You might be given more context about certain things about the Cyberpunk lore.