When we were there last year we arrived at the dining room just after 10pm and by the time we finished our meal at 11pm they were just closing. So unless they have changed the hours you should still have time provided you check in as soon as the SQ desk opens at 3.5h before departure.
Would recommend trying it as the food was very good. Unless they have changed the hours you should have time provided you head straight there.
See
our review for details and food pics.