been a while since i done this so i might have gotten some parts wrong:
- get a thumbdrive/usb drive/whatever you call it
- install the arch iso on it. im assuming you still have another device you can boot to.
- plug in the usb into your broken device. turn it on. then boot into that usb. you probably did this while installing arch so im assuming you know how to do that.
- once in, mount your broken arch install by doing
mount /dev/<whichever partition it was> /mnt. take note of the space between the partition and the/mnt. - then do
arch-chroot /mnt - from there just install grub like normal (just do whatever you did to get grub working in the first place).