Both drivers ”Intel Management Engine Driver version 126.96.36.1999" and "ME 188.8.131.529 Firmware update" are the same thing.
Regarding the BIOS update, I would not suggest to do a BIOS update unless there is a particular issue with your system, but if you still want to perform the BIOS update, then I would suggest performing first the BIOS update and then the drivers update.
Thanks for replying Adolfo!
I just wonder. Since the BIOS update is meant to improve support,stability and overall performance, why should it be performed only in problematic situations?
Also I would like to ask what kind of BIOS update does the "Intel Integrator Toolkit" perform? Is it an express BIOS update or another type of BIOS update?
The reason that I recommend not to update the BIOS unless there is something wrong with the motherboard, is because updating the BIOS of the motherboard could be a risky task, there is always a possibility of damaging the motherboard.
Hence, I recommend updating the BIOS only of there is an issue with the system.