I'd suggest just getting breakfast in one of the LAX SCs. The 4PTS breakfast isn't great and isn't fast, plus when I stayed there the airport shuttle required extra time as some were completely full and they didn't seem to run as frequently as they should have. To be safe, go to the airport earlier and have your breakfast there for free. You'll probably get a fairly big early lunch (check this on your itinerary) on the flight too.