They may not want to fix it, as they may be holding out the tables that can handle 4 people to see if a larger party will take advantage of it. Pretty sure that once you are on board, all of the tables become available.
I'm 3 for 3 for getting Palo brunch reservations, but for each, I had to repeatedly check for availability. I never got them initially; I had to wait for someone to cancel, so I typically checked every day or two for something to come up.