Alternatively, you can just ditch the buffer circuit (the components ringed in green) and run the new wire to one of the two holes circled in green. Obviously, there's no need to cut the track if you remove the buffer circuit. It's not necessary to remove all the buffer components; but at least the transistor and the 10K resistor should be removed.
This diagram shows how it should be wired.
1. Remove the board and sever the track between the input jack and the capacitor, as shown on the photo above.
2. Reinstall the board
3. Desolder the wiring from the existing switch.
4. Remove the switch and replace with the new one.
5. Solder a new length of wire to the upper right lug on the switch.
6. Solder the free ends of the green wire and the new wire to the lower left lug on the switch.
7. Solder the purple wire to the lower middle lug on the switch.
8. Solder the short blue wire to the lower right lug on the switch. Some models have the two blue wires connected at the pot, some at the switch.
9. Solder a new wire between the upper middle lug on the switch and the input capacitor on the board.
10. Solder a new wire between the upper left lug on the switch and the grounded lug of the pot.
This diagram shows how it should be wired.
1. Remove the board and desolder the buffer components, as shown on the photo above.
2. Solder a new wire into the hole where the emitter of the transistor was.
3. Reinstall the board and solder the free end of the new wire to the upper middle lug on the switch.
4. Desolder the wiring from the existing switch.
5. Remove the switch and replace with the new one.
6. Solder a new length of wire to the upper right lug on the switch.
7. Solder the free ends of the green wire and the new wire to the lower left lug on the switch.
8. Solder the purple wire to the lower middle lug on the switch.
9. Solder the short blue wire to the lower right lug on the switch. Some models have the two blue wires connected at the pot, some at the switch.
10. Solder a new wire between the upper left lug on the switch and the grounded lug of the pot.