It is mentioned in multiple places that the Iris Xe graphics in Intel 12th gen (and later) requires installing the latest kernel for dom0 (sudo qubes-dom0-update kernel-latest) to function properly, e.g. here: https://forum.qubes-os.org/t/framework-laptop-12th-gen-alder-lake/14177 (do a search for intel 12th gen kernel-latest). I think this should allow you to use at least the integrated GPU normally. Did you do this already?
As for the dedicated Intel Arc A770M GPU - maybe you can attempt to pass this device through to a HVM for any accelerated graphics (e.g. games) or higher performance compute needs.
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