Boot option not showing after installation

You can open up the disks tool we include in Netrunner or check kde partitionmanager

This is what shows up in Disks.

GUID Partition Table = GPT so it is indeed gpt.
So I recommend creating a bios_boot partition with kde partition manager (if it supports it. It should appear under flags for a newly created partition). Otherwise I recommend installing gparted on the live disk and using it to create a bios_boot partition (I definitely has this flag option available)
Choose this bios boot partition as target for grub to install to.

So this is OK for the bios-grub thing?
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The installer crashed when I chose to install the grub menu inside of the reserved BIOS space

To be honest I am not sure as I never did this on my own. If no one else tried it before the only thing you can do is try it.