Did you install the correct drivers for this printer?
This one is it: https://aur.archlinux.org/packages/brlaser-git according to (https://wiki.archlinux.org/title/CUPS/Printer-specific_problems#Brother)
yay -S brlaser-git should install it.
On top of this you will need to install additional packages like cups and ghostscript.
Check this page for more info: https://discovery.endeavouros.com/printers/printers/2021/03/#network-printer
These two lines in particular are of interest from the link above:
sudo pacman -Syu cups cups-browsed cups-filters cups-pdf system-config-printer --needed
sudo pacman -Syu ghostscript gsfonts foomatic-db-engine foomatic-db foomatic-db-ppds foomatic-db-nonfree foomatic-db-nonfree-ppds gutenprint foomatic-db-gutenprint-ppds --needed