Unfortunately, I have the same problem. The only solution I found is to record the opened page with the “Vidline screen recorder” extension. Just open a browser that you don’t usually use (for example Microsoft Edge), you download the extension and then you launch the video and you record only the tab. If you want to do something on the side and you want to mute the sound, you can just go to the volume mixer and turn down the sound of Microsoft Edge (or the browser you have chosen) to 0, it won’t have any impact on the extension because it will continue to pick up the sound of the tab.
It’s quite long, but it’s the only method I know for the moment.. The videos are encrypted so there is not much to do.. ^^'