Apparently (from the boot screen) it's a "Falcon/CT60" - so upgraded to a 68060 CPU, which should be more than capable enough to run Quake.
Edit: found it - https://www.worthpoint.com/worthopedia/ct60-accelerator-upgr...
Edit: found it - https://www.worthpoint.com/worthopedia/ct60-accelerator-upgr...
There are also expansions for the expansion! People also use the CTPCI to run the desktop on a Radeon 7500. Alternatively there is an FPGA version of the graphics chip called SuperVidel.
There are numerous FPGA implementations of various folks ideas of what a post-060 mc68k might look like. There's also a 68070 from Philips that's a 68000+simple MMU+stuff; definitely not 060 class.