When it is time for the performer to lift the 3 lids on the plates to reveal the meals, if all 3 plates were setup to contain the same meal (say pizza) then he would only have to lift the lid when one of the men read the card that said “pizza” but he would have to do something else for the other two plates. In other words, if it were possible that he could select which meal was to be shown when he lifted the lid, he would only have to do that in 2 of the 3 cases.
Now, looking closely at the video, you will see that before the men read the cards, he puts his hand on the backs of 2 of the 3 men and could give them a signal provided they were in on the trick. The third man would not have to be given any kind of a signal because his plate would already contain the dish that he read from the card.
This is not a solution but it is a way to get closer to the way it might have been done.
One other clue is that the tables are covered by a long table cloth so that the audience cannot see what goes on under the table and if there was some mechanism in operation under the table that could select which dish would be shown when the lid was lifted, that would be another way to get closer to the secret as to how this was done.
I’m not claiming to have figured this out. I’m just thinking out loud that the following two things are two possible clues as to how it was done:
he puts his hand on the back of 2 of the 3 men and lets it linger there for a second or two before he lifts the lid. That could be a way for him to give a signal to 2 of the 3 men. He would only need to signal 2 of them. The one who was seated at the table where the pizza (or whichever dish was preselcected) was preset to appear when the lid was lifted.
The big table cloth hides whatever could happen under the table and to the bottom of the 3 dishes. So there could be someone or something going on under the dishes that arranged to change whatever dish was there.
I’m suggesting these two factors may be a way to get closer to the solution to this trick and if anyone else can think of any similar factors, we may be able to figure this thing out.