I would not have been so patient with having to wait for some dim to come in to vote. The audacity of those poll workers was inexcusable.
I have been a poll worker, though not in NY. In my state the poll workers could have made it a spoiled ballot (lots more work for the poll workers), offered a paper ballot as they did, or asked him to wait. It would also depend on how many machines they had, and their set-up, what kind of machine they had, and whether they could simply change cards in the machine.