Yes, the iddah must begin after the divorce or the separation through khulu or a verdict from the Islamic judge!

I am a wife that left her husband because he beat me and threw me out,I’ve been home for three menstrual cycle and he has refused to divorce or take care me, am I to still do iddah if he finally divorces me no matter how long or if its after three menstrual cycles I don’t need to perform iddah all over again.