Shadowplay works, or you can try OBS Studio if it doesn't. (Other options like Bandicam and Fraps are paid, so likely not worth getting for a single capture session unless you really can't make something else work.)
Don't stress over getting it done in the next few weeks—really. I did just find out about this mod yesterday, so it's not like I've been waiting for ages. Best to focus on your thesis, really. A demo will get done when it gets done—and well, if you wait until you have time to spend.
Amusing that Razer, a gaming hardware company, don't have time to play a game long enough to make a complete demo of a featured third-party integration. It shouldn't take that long to run out of electricity anyway, if they put the right parts on the rocket.