You could do it in synaptic package manager. Install synaptic
sudo apt install synaptic
and then search for brave-browser and click on all packages which are related to brave-browser. Then in the top bar click on "package" and enable " lock version". This will prevent brave-browser from being updated. Then click on apply.
Or you can try to follow the guide from littlekun and replace libreoffice with brave-browser in the command.
It could also work with
'sudo apt-mark hold brave-browser', but I'm not quite sure if you need to enter the installed version of brave-browser here.
You could enter in terminal
apt list -i | grep brave-browser
to find the packages and then copy the names of the packages and paste it into the command
sudo apt-mark hold ...
I personally find it easier to use synaptic. When you later want to undo it and unhold brave-browser disable "lock package" in synaptic or replace 'hold' with 'unhold' in the command.