which broadcom chip do you have? im pretty sure the 4313 broadcom chip has the same driver as my atheros chip in my b570 which the driver is already on linux mint, ubuntu and a few others you just need to do a little command line stuff.
to get mine working i had to type:
sudo service network-manager stop
sudo rmmod acer_wmi
sudo modprobe acer_wmi
sudo rfkill unblock all
sudo service network-manager start
sudo rmmod -f acer_wmi
that would get it working, then you type this to get it to stick past reboots:
sudo su
echo "blacklist acer_wmi" >> /etc?modprobe.d/blacklist.conf
after that you will have a fully working wifi connection that will last through reboots, although wicd seems to work better than network manager so i would recomend swapping them out after you get everything working.
