Hi everyone!

I have priced out a multi-city trip on googleflights from Prague (PRG) to New Caledonia (NOU), and it has come out significantly cheaper than any similar round trip options. The only issue is that the itinerary includes segments on Lufthansa, Qantas, Air New Zealand, and Swiss. Google flights will give me an option to book through Gotogate or Travelstart, but I of course always prefer to book flights (especially expensive ones) through the airline itself. For the airline option, it told me to call Lufthansa to book.

I tried to price the same itinerary on each of airlines listed above websites, and of course had no luck there either. So I tried calling Lufthansa, but the agent I talked to was unable to price the flight as I found it. He told me that I should book directly through staralliance.com. Problem is that as far as I can tell, staralliance.com does not have a multi-city booking feature.

Anyways, I feel as if I have exhausted all options, and was wondering if anyone had advice on how to actually book this itinerary? I will list it out below, and can also attach a link to the googleflights offer.

Thanks a bunch in advance! I really appreciate your help.

Flight 1:
September 21st, 2023
Prague (PRG) to Los Angeles (LAX) 8:50AM to 3:20PM (stop in MUC)
Flight 2:
September 21st, 2023
Los Angeles (LAX) to Noumea (NOU) 9:20PM to 3:05PM+2 (stop in BNE)
Flight 3:
December 12th, 2023
Noumea (NOU) to Los Angeles (LAX) 11:20AM to 2:30PM (stop in AKL)
Flight 4:
December 12th, 2023
Los Angeles (LAX) to Prague (PRG) 7:20PM to 6:55PM+1 (stop in ZRH)

Link to google flights routing