I don't see how BlackBerry can get Google's blessing. Google wouldn't want Android to be left in a sandbox like BlackBerry is doing.
Correction:
BlackBerry 10 includes Dalvik VM, and it can run apps the same way that Android Open Source Project OS can, but it's not an Android. "Android" is a trademarked brand owned by Google to refer to versions of AOSP OS that it approves.
Z10 STL100-1/10.2.1.1925