Debian 12 installs Broadcom network card in one click
vi /etc/apt/sources.list
# Debian 12 "Bookworm"
deb http://deb.debian.org/debian bookworm main contrib non-free-firmware non-free
# apt-get update
# apt-get install linux-image-$(uname -r|sed 's,[^-]*-[^-]*-,,') linux-headers-$(uname -r|sed 's,[^-]*-[^-]*-,,') broadcom-sta-dkms
Restart the system
Reference