Yeah, I also have the same problem. It's fTMP I'm sure, but Asus just doesn't want to deal with it. They just don't care. I'm on BIOS 313, also same problem. Zephyrus G15, 2022, GA503RM.313. Someone even said, new 2023 version, don't know exact model code but also has the same problem. Ridiculous.
Same thing on a 2023 Zephyrus Duo16, though it's not severe, but sometimes it happens constantly every 5 seconds and I have to reboot it to fix it. Idk if it's TPM related, afaik that's mandatory to be enabled for Windows 11, is it not?