I had that break on me when I was doing a small cooling system overhaul for a friend. Had it all finished, filled, and bled. And the damn thing broke on me when I was tightening the screw to be done with it.
Luckily both local BMW dealers had it in stock, so was able to get another one that night.
The bleeder screw is something that now I think should be replaced when you're doing any cooling system work as it's cheap to add to the order, and you don't want it to break on you when you just finish everything up.
Nobody ever mentions changing the bleeder screw. I think it should be mentioned & done.
Cosmos Black/Black 1995 540iA M-Sport
BMW Individual Exclusive Edition, 1 of 65 total, 9/25/95 Build