TL;DR - Should you move over across the double white HOV lane lines to stay in accordance with the Move Over law?

I saw an interesting situation driving today, and of course as a new driver these AREN'T the things that are taught in driving courses.

There was a GSP officer pulled over on the far left near the median barrier helping a Tahoe that had a blown tire. There were some vehicles in the HOV lane and it was interesting to see them squirm around and wonder what to do as they approached, a few just lightly dipped over the double white line and some just turned their turn signal on and off and decided it wasn't worth it. Of course I am aware of Georgia's Move Over law, and it seemed like an interesting situation that I couldn't find Googling.

So, since there is that uncrossable double white line, what is the correct course of action? I would assume that the officer would keep that in mind when on the side of the road and not worry about it, but I could be wrong. Thanks for any responses!