Could someone help me recovering my system after a BIOS disaster?

Inside the Chroot

Ensure rEFInd is installed (it likely already is): pacman -Syu refind
Run the installer: refind-install
This is the simplest and most common usage. It will:
Detect your ESP (mounted at /boot in the chroot).
Copy rEFInd files to /boot/EFI/refind/ (or the standard location).
Install necessary filesystem drivers (based on your /boot filesystem).
Create or update the UEFI NVRAM boot entry using efibootmgr.

No options are usually needed for standard setups. when you bios update it wipes uefi nvram and this procedure should fix that.

Hopefully that will help