NG+ run - game bugs out

That didn't happen to me. You should report that bug.

You can sell or destroy the other "Special Items" in your inventory before starting a NG+. This prevents weirdness with Liam's armor, Alain's cybernetic device, etc... Sadly, the Movie Night stuff remains invisibly in our inventory, despite handing it off to our crew.

Fortunately, all this really does is cause a few conversations to be skipped, and a couple to appear too early. You don't have to fetch the items, which is maybe a small silver lining. :/ The night still goes off as normal, but is accessible much earlier. I actually ignored it so long in my NG+ that I forgot it until we were about to launch the final mission.