Kk so the switch description is little confusing and looks like simple on/off switch.
Now here are my suggestions
1). Run fog projector with oem
fog lamp. Thus low beam will come on with oem
foglamp switch but only after turning pilot lamp on. Now for high beam you can connect, solenoid wires to an independent on/off switch. Which can be mounted on gear lever for independent flashing or full time high beam independent of h/l wiring
Cons:- fog projector will only get on after turning pilot lamp on
No direct high beam, first has to turn on foglamp.
2). Use a simple headlight switch of any bike like pulsar/splendor type. Reason bike switch can be mounted easily on gear level. And will have off/low/high and also an independent switch for direct flash from off.
At the bottom you can see I have attached image of h/l switch
3). Run 2 independent on/off switch.
Switch 1:- will only connect to low beam of fog projector.
Switch 2:- will connect high beam solenoid wires and low beam wire input for fog lamp together.
Ofcourse independent wiring from battery with an inline fuse has to be run.
But this way. You can use switch one for city/normal low beam drive. Or switch 2 for pass during day or full time high beam use.
But have to use a blocking diode in between common connection for low beam of both switches. Such that blocking diode will block current from switch 1 to go into switch 2(as they both connect to low beam, but switch 2 connect to high beam so current from switch 1 will trigger high beam also, which we don't want so current won't flow from switch on connection into switch 2) OT
NOTE:- a while back I was viewing a classic car interior, and it had high beam switch in near dead paddle area for flashing.