Bandicam have advised this cant be done. SUGGESTION TIME
I want to do this so I can record live sports events, web cams etc while I continue working on other things on my computer. It seems a bit pointless, outside of game recordings, to have to just have the one tab open and watch what is being recorded and do nothing else.
So when Bandicam makes huge amounts of money from this little tweak, my hand will be out for whatever you offer me LOL.
Not only the Game Recording Mode but also the Device Recording Mode allows you to do other tasks on your Windows without recording what you are doing in the other windows.
If you'd like to record the video from your webcam, please try the Device Recording Mode. https://www.bandicam.com/how-to/video-capture/
Regarding your request to allow you to do other things when you use the Screen Recording Mode, we will forward it to our development team.