Tested with a USB-C mini-dock, the Mi 11 lite 5G/NE doesn't have DP-alt mode, so it's not compatible with Type-C to HDMI cables/dock. The main reason for it is probably the lack of USB 3.1 (the connector is just USB 2.0).
Yes, that's one thing many people don't realize, a USB Type C connector is a guarantee of nothing.
The same thing goes for USB Type C cables.
If in doubt cut the cable with scissors and see how many conductors (pairs) it has. Of course this kills the cable.
If device is USB 2.0 the most video connectivity it might have would be to use an actual video adapter, but that is a separate frame buffer than the screen.
Unrelated: I use a Raspberry Pi Zero W connected over Bluetooth to my Android.
The RPi has an HDMI output I can use for my own digital signage style application.
The HDMI shows text and is completely unrelated to my Android's screen.