OOE tasting menu means if there are 12 options available and you manage to order them all. It may be more useful or helpful to refer to @PorkyBelly or @moonboy403 posts titled OOE to get a more clear picture.
You can’t really order an “OOE omakase”, it subtly works something along these lines:
Diner sits down at the counter - “I’ll have the omakase”
Chef at the end of regular omakase… “that is the end of the omakase, would you like to add anything else?” Customer responds "Yes I would like to add… "
1 hour later and after X number of additional courses … Customer says “What else do you recommend?” Chef responds - “Nothing, I served you everything we have for tonite”… Customer blushes and sheepishly replies “OK, can I have the check please?”
I’ve noticed a number of sushi restaurants starting to offer “premium” omakase. Although honestly I don’t recommend ordering this for any place you haven’t previously dined at. It may end up being a long, miserable and expensive night… recent personal experience.