I use a KVM over IP.
I made my own tiny pilot device for less than £100 and it has worked flawlessly for a few years.
This assumes your server has a hdmi output, if not you will need a VGA to hdmi or similar converter, danger of it becoming a bit of a hodge-podge of adapters, but hey, if it works, it works!
I’ve no experience with either of those devices. So long as they’re comparable in terms of USBC features (otg) to emulate the keyboard and mouse then you should be good as the overhead of running the software seems to be minimal from my usage.
Without that, you’ll get video without keyboard and mouse support.