I've found, particularly at The Plaza, that guests are at the mercy of the "seater," you know, that one who paces around the restaurant with a tablet, and that the people at the podium are only there to read the screen(s) in front of them, and not to make any kind of decisions. If it ain't on the screen, it ain't happenin'. It's like talking to a human app. Joining the waitlist on the app, if that is available, as oftentimes they fill up, is your best chance.