I have implemented Syslinux Arch Autodetection for live-build.
The Syslinux/Isolinux menu has an special auto option added at the top of menu when both:
amd64 kernel 686 kernel have been found. This enables the iso to work seamlessly in both of the architectures.You can review its associated Merge Request at: https://salsa.debian.org/live-team/live-build/-/merge_requests/356 .
Feedback is appreciated either here or on the MR itself. Thank you! adrian15