3200G APU's use the Picasso code name. SMUChecker reports there is an SMU (ver. 4.30.86.0) for Picasso included in BIOS F63; your 3200G will function normally.
But read the update notes for all BIOS revisions between F1 and F63 as you may have to update to an intermediate BIOS or two across such a wide spread. And be sure to reset CMOS after the update; it may not be necessary but it's easy and perfectly safe.
And one other thing to note is this BIOS implements Win11 compatibility changes so it might enable UEFI operation by default. If your system drive was not initialized in GPT mode operation it won't start Windows in UEFI mode, in which case go into BIOS and change to Compatibility mode operation (or legacy mode, CSM mode or whatever Gigabyte might call it) and it will start Windows. You can then convert your MBR drive to GPT and then re-enable UEFI mode operation and Secure Boot for maximum on-line security.