The small cable attached to the spring loaded brake arm is there to pull the brake arm away and release the gearbox for the spin, it does not energize & close the internal contact during the agitate mode. Try the machine on final spin and see if motor runs when the brake cable pulls in. If it does then the motor & wiring are ok. If it doesn't and you say there is 230V to motor then check the neutral wire going back up it may have a break. If spin is ok then I would look at the forward/reverse module inside the panel next to the timer. They sometimes fail.
Lincoln Appliance NZ
December 2012