I've been to Reid before (nothing to do with JY).
It's excellent, but you do have to pre book, and they have a VERY strict dress code (jackets and ties for men and so on), and they do enforce it and will turn you away.
If you go for afternoon tea, ask for a table with a view, either on the terrace or just inside the room (some of the tables are at the back of the room).
Stuart