I did a successful update and key biosu after serifika key and certificate was successful but I did not have windows bios mode was not active, please ask if I slice Mod 2.1 HP
Did you try to rename that modded BIOS to R0080F1.rom and reinsert it (overwriting the original) into the installer from SONY (AIBSYS-00772903-UN.exe) using 7Zip ? Then run that installer with the modded BIOS in it. It may or may not work so do it at your own risk. Be sure to have a recovery disk with the original BIOS on it ready BEFORE you try that.