But for now you could try other Web Cams. Or do you have a smart phone that can share your camera?
https://help.airtame.com/using-airtame/present-to-airtame-using-android-devices (this and more is there.) That is, you may have to ask airtame how to flip the camera.
Since this just takes the HDMI output and you only need to put your screen to show the camera, where is the mirror happening?
My school has a tv instead of a projector. We use airtame to mirror the computer screen to the tv. I have an hp pro book which goes into tablet mode. I would like to use the camera on the laptop to project as I write down notes or do examples. The problem is the writing shows backwards. There's only a front facing camera and there are no settings to change the mirror image. Document cameras are expensive and unnecessary if I can just get the image to show correctly. Any suggestions? Or is there a cheaper alternative to a document camera?