Judging by the spec if you can convert from hdmi to displayport then from display port to USB C it may work. However there is no linux driver available so you'll likely have problems or reduced functionality. You can't use the windows or MacOS drivers as they're for both a different OS and a different CPU type.
You may also find that the pi can't supply enough power, according to the spec it needs 1.5 amps (that's three USB 2 ports worth)
Given the price, the high current requirement, the lack of drivers, and the need for keyboard, mouse etc you might find it both cheaper and easier to use a basic or second hand laptop and connect to the pi via vnc over a private network (this can be done with a single ethernet cable).
Try the vnc approach with your existing PC before spending out though.
Just my two pence worth.
Disclaimer: I don't have one of those monitors so don't take my comments as gospel truth.
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