While the breakfast is good, BA has too many choices to waste any other meals there.
Remember, it is a convention hotel (connected to one anyway), so you will be given reccomendations by the concierge to tourist restaurants and activities. A case in point, we wanted to go see a "Boca Juniors" game, the concierge said they could get tickets, and the bus would pick us up at a few hours before. We told him we wanted just tickets, and would handle the rest ourselves. they said it could not be done, impossible. Now I suspect at the Palace, the concierge might have figured out how to buy a soccer ticket.
I spent a week here, no great complaints, vanilla ice cream.