Help! Sony Xperia Z3 D6616 Stagefright Update

My Xperia Z3 is rooted and about a few months ago I received the stagefright update from T-mobile, my concern is will I lose root and my custom recovery if I perform the update or is there an Already - patched Rom for it.
The update on very small about 40mb it's not an OS update.

Thank you in advance.

Download from this link