You can see there's a ridge of copper track under the outer carbon track and the inner 'donut' one, so pins 1 and 4 are the two wiper contacts. The contact layout on the rotor tells us they each contact the adjacent carbon resistance track. Therefore the track ends for wiper 1 are 2 and 6, and for wiper 4, 3 and 5.
It looks like there may be copper under the carbon half way round each resistance track, which would make it work as two pots, one for each channel, that fade one chanel as you move away from center leaving the other at full output and visa versa in the other direction.
Note that there appear to be a crack in the track PCB disconnecting pins 5 and 6. If you scraped away just enough solder mask to let you solder bridge it and reinforced the track CB from the back with epoxy, you might bring it back to life.
Otherwise identify which of pins 2 and 6 is the signal in and jumper it to wiper pin 1, and similarly which of 3 and 5 to jumper to 4. It *MAY* also need a pair of 240K resistors from 2 to 6 and 3 to 5 to load the previous stage correctly, but odds are it works OK without them.