You can sign up for reservation finder, but you would have to still get on and try to make your reservation yourself. Some TA's will continue to try and get reservations for their clients, but most likely they are just trying throughout the day or using something like reservation finder.
I have used reservation finder for a couple of reservations on last minute trips. Once or twice by the time I saw the message the reservation was gone, but then I would get it another time. I do not make many reservations for dining in advance so I have only used this if the trip was within a couple of weeks and I wanted a specific restaurant. https://touringplans.com/walt-disney-world/reservation-finder
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