Overdrive + Time Crawls

If (on Mr. Fixer's turn), Mr. Fixer plays Overdrive while Time Crawls is out, what happens?

 

For most "Use an additional power this turn" cards, you don't get any power uses, because additional powers granted on your turn must be used during your power phase, which has been skipped.  But Overdrive is weird enough that I wasn't sure if the same thing held true for it.

In the video game, if I'm not mistaken, it still doesn't let you use Strike.

Additional powers in your turn must be used in the Powers Phase, since you have to skip your Power Phase to play Overdrive you can't use Strike if you play it in your turn.

Out of Turn card plays are a different matter entirely though.