I own three of these Displaylink adapters. I have run them all at once and worked fine under Fedora 38.
For the driver, I download this rpm and installed it. While it froze at the end, after a reboot, it worked.
Look for "Show all assets" and then select the Fedora 38 rpm.
The first reboot after installation is a slow one because it's building the kernel module or something.... I think. :)
Good luck.
Based off of what I’ve researched online, your Macbook can run multiple displays off of a single port, given that you don’t rely on MST. So, you can use a Thunderbolt dock that has multiple Thunderbolt output ports. Unfortunately, this route is expensive, as a suitable dock would cost a minimum of $100-150.
The alternative, much less desirable solution is to use DisplayLink for Display 2. You would just need to install drivers on both of your computers and plug an adapter like this into your peripheral hub if it is SuperSpeed. This isn’t desirable as it sacrifices computer performance to convert the display into USB protocol.
I've tried a bunch of $20-$30 ones off Amazon in the past in a tunnel vision attempt to go cheap. Finally settled on the Cable Matters one at $50. The cheaper ones were generally very flaky. Drivers were...ugh. Random os updates would break them, they'd suddenly stop being recognized at all, etc, etc. I'm not going to put the Cable Matters one on a pedestal, but it's the first one as I slowly started spending more on these adapters that just consistently worked without a fuss.
That said, I have very few of these in use any longer as our devices have been refreshed (especially with the splash of pandemic funding), so my experiences bashing my head against a wall over these are from 2-3+ years ago.