In a civil contractual dispute you can only recover actual damages. If the contract was sent, and the other party performed work on it that had a cost for them, then most likely, yes, they would be awarded damages if you refused to compensate them for any costs incurred prior to notification that the acceptance had been sent in error.

The other outcome would be clearly inequitable: forcing the counter party to eat the loss for your irresponsible use of an AI agent.