Please do uninstall/reinstall the Webcam driver that may do the trick.
- Go to Device Manager and uninstall the Webcam driver.
- Once uninstalled, reboot the laptop and it should reinstall the driver automatically.
- After the reboot do test it again and observe if the same problem will persist or not.
- If it doesn't work, do check all the settings and see if you'll find anything about reversing the image or flipping it.