Roland Switchers: Why you Cannot Use a USB Webcam as a Source
I have attempted to research this several times and concluded there is no good solution for it.
Someone on the internet made a converter for around $150, but it seems to have issues with newer protocols, I'm assuming the brio is USB 3.0, which might not work.
https://www.febon.net/products/usb-uvc-webcam-to-hdmi-adpater
I recommend against this approach, because the cost of a camera and adapter can exceed a more reliable HDMI camera.
USB to HDMI Display Adapters like these will not work either:
None of those will work, they are designed to add another monitor/desktop to your computer.
If you do not have enough HDMI/DVI outputs on the computer, those adapters will add an additional HDMI output.