It's really wide open. Just use Google Flights.
Example:
https://www.google.com/travel/flight...7ZiMR4maM2Lfj7
You can even get CMB-DOH-AMM all with lie-flat seats, but I didn't see any 787 for AMM-CDG for those combinations. Seems like 2/3 flights with lie-flat seats are as good as it gets... But maybe you can play around with it and get 3/3 somehow.