Your sda is MBR and has grub for BIOS boot.
Your sdb is gpt and has an ESP for UEFI boot. But in UEFI mode grub always wants an ESP on sda.
Your sdc is MBR but also has an ESP, which can work but not recommended as gpt is standard with UEFI.
If you have newer UEFI hardware, better to use UEFI with gpt.
But if you really want BIOS you can still use gpt but then need a bios_grub partition for grub to correctly install to gpt's protective MBR.
But whichever you want better to have all as BIOS boot or all as UEFI/gpt boot.
Since installs are on separate drives, you can dual boot, but not from grub, only directly from UEFI boot menu.
Once you start booting in one mode, you cannot switch. Or grub then can only boot other installs in same boot mode, which you started with.
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