I have both the SKR and the EBB36 set up as CAN device and do not have a serial ID. Used SKR 3, EBB, CAN bus, Klipperscreen working for setup. I did change USB cables at that time using a new cable.
[mcu]
canbus_uuid: 63801cc884bd
[mcu EBBCan]
canbus_uuid: de14601a46c3