Hi, you did not say which FAI version you are using and how you did create the bookworm image. I wonder why you still have gfxpayload=$resolution in the grub.cfg? This was removed in FAI 5.9.1. Also insmod all_video is used since a long time.
Please also check if this ISO does not work with Ventoy https://fai-project.org/fai-cd/faicd64-large_6.0.iso -- reagrds Thomas