Intel ARC770M not detected with kernel 6.x

Intel Arc is pretty new. You were correct to advance to the 6.4 kernel to seek driver support, but even so, the xe patch won't be merged into Mainline kernel for another month at the soonest.
You might try (at your own risk - be sure to recall how to use Grub Menu to access Advanced Options for Zorin in case you need to roll back) the Zabbly 6.5 kernel: