Controlling Two Circuits with One Switch
No real need for 3 power supplies here, so I simplified. Specific parts are circuit-lab defaults for the part type, not suggested part numbers.







simulate this circuit &ndash; Schematic created using CircuitLab

Add 2 diodes and I think you could make it work. As it stands either switch will turn on all three lamps. In the "red path" the voltage sources (as drawn) cancel, so no current should flow. The "beacon" needs a diode pointing at each switch which will permit it's current to flow through the switch, but prevent the current from the "individual timer" light on the opposite side from flowing to the switch beyond.