Unfortunately, the Switch Lite is not designed to have any video output capabilities at all. So even if you get a USB-C to HDMI adapter for your Switch Lite it won't work to connect it to your TV, computer, monitor, or any other screen. The Switch Lite does not have the built-in capabilities of putting out visual content using the USB-C plug. So despite a USB-C to HDMI adapter fitting into the plug on your Switch Lite, it won't actually do anything. If you want to play your Switch games on a bigger screen you will need to upgrade to the original Switch or the Switch OLED as the Switch Lite will not work on any external monitors or devices even if you purchase different adapters for it.