When the turn signal switch is flipped up, current can flow through the flasher down the switch feed (F38) to the front and rear lamps. If its a right turn signal, that's the light green and dark green wires.

For brake lights, I read the the diagram as power to the white wire S17. This goes through the hazzard switch as long as it is in OFF position. From the hazzard switch it feeds the rear lamps regardless of whether the turn signal is blinking one of the. But it might be like my '67 and where it only feeds the one not blinking.
This is how Chrysler illustrated the turn switch in a 1968 Master tech booklet.
I've colorized the switch's brass contact surfaces.