Try the Pier. Its a good 10 minute walk to the departure gate, but that's something I relish ahead of the 13 hour flight.
Getting an evening slot for a spa treatment can be tricky at 2 or 3 hours notice, but book anyway. It is not uncommon for the buzzer to animate an hour or so ahead of the allocated time slot.
I like this month's menu - very good mushroom risotto and Thai salad