Currently I am doing this in a very crude way using keyboard keys simulation.
Here's a screenshot of actions to give you an idea. (I turn Vim extension off when I have to put password using LastPass extension. And In order to not put passwords using LastPass while Vim is ON, I usually turn LastPass off whenever I turn Vim ON.)
This is not ideal for me. I have tabs open. I do this in the middle of my work in a specific tab.
It can be faster if it doesn't require us to close the browser.
I currently, reload my current tab, after I turn extensions ON/OFF. I wonder if reloading tab would be enough rather than closing the browser entirely.
There are a few extension managers on the Chrome web store, and I believe that most extensions are compatible with Brave. Perhaps one of those will make your life easier?