I suspect that you want to learn more about "alternate mode" for USB-C, which is how video (DisplayPort) signals are transmitted over USB-C.
https://www.engadget.com/2016/08/21/finding-compatible-usb-c-accessories-is-a-crapshoot/
Read through that article, there's several mentions of alternate mode, and how it doesn't always work, and appears to be quite sensitive to cables (suggesting perhaps that you haven't found a cable that supports that -- or the combination of devices and cables that you have tried, are not yet all talking to each other.
If you read the manual that came with your LG display, you should see (on page 20, I think) the mention of both Power Delivery (provides charging through the USB-C port), and
alternate mode (provides displayport video through the USB-C port). The CABLE has to support that mode, too --- not just the hardware. I think you would need to try out a couple more cables --- which, yes, gets a little tiresome, particularly if you don't find a cable that supports that alternate mode.
And, you have a simple solution (that should work), because you also have a DisplayPort connection on the display.
Try a USB-C to DisplayPort cable.