What's the issue? It's not that complicated.

If you want to ship your phone with Google Play Services (or distribute them in any way), you need to obtain a license from Google. You need to pay for it, but also follow the rules (MADA) associated with it.

That's one of the reasons it is hard for Jolla to get OEM partners and rumor has it that's also why Microsoft canned their Android app layer, because manufacturers who would sell such phones along other Android phones could lose their Google Play Services license.

The idea that Turing could get blessing from Google to use Google Play Services on Alien Dalvik is straight up nonsense and impossible unless the rules change.

EDIT:
So it seems like the exact rules are protected by NDAs, but this is the clause that should prevent OEMs from using Alien Dalvik alongside their Android lineup:

Either way, if BlackBerry failed to achieve this and Microsoft probably failed as well, it is quite unlikely this Schrödinger's Turing company will be successful.