Each game has limits, set by your manager, so prizes reach as many people as possible.
"This number has already won a game prize in this activation"
It's one prize per person in each activation. This number has already won one.
"This number has already played … today"
The shopper has had all their plays of this game for today. They can play again tomorrow.
If the message ends the most allowed in this activation, they've had every play they're allowed in this activation.
What to do
Let the shopper know about the limit. If they'd like, they can play a different game, if one is on.