Mass Effect Legendary Edition won't let me record my gameplay with Bandicam

I had the same problem.  I was using the EA desktop so I switched to the Origin launcher and it worked there.  Using Bandicam as well.

Update:  When I switched over to Origin, I lost my surround sound.  After I took the steps to fix it, bandicam quit recording there as well.  Failure to capture audio.  Due to the openal32.dll I had to add most likely.