Most BIOS updates come with a firmware file and a .exe to flash it
Sadly in my case, iy doesn't.
I think they're saying the Windows update file will contain the firmware binary.
You can find Windows update files here: https://www.catalog.update.microsoft.com/Search.aspx?q=Acer
But you'll probably have to check each update and see if the "Supported Hardware IDs" match some sort of UUID in dmidecode. I'm not sure if those are supposed to match though.
Then there are some generic firmware update tools for Linux that might work, or might brick your laptop.

Nah, bootcamp assistant is Apple's dual boot setup tool, it is a native install, but it has to be started from MacOS.