Between pre and post facelift, you can tell by the ginger hockey stick (or clear).
Pre facelift is definitely not compatible. This uses all 8 pins while facelift only use 7 pins (for xenon).
The picture could be a xenon but you'd need the seller to flip the light to see if there is a ballast.
Also maybe this will help https://z4-forum.com/forum/viewtopic.php?t=135548