As for installing Home Assistant Supervised on a Raspberry Pi using Debian 12 there is even a dedicated guide for doing so.
Nevertheless same with this guide: No GUI and no dual booting!
Is there any special reason why you want to install HA Supervised? I recommend you to stay away from HA Supervised since this kind of installation makes solid Linux knowledge mandatory.
Home Assistant Operating System (HA OS) might be more suitable for you and you dont need much Linux knowledge to install and run Home Assistant:
For an in-depth reading about the latter look HERE.
BTW, the Search-function of this forum works pretty well 