I don't know if I understood you well, the 10% fee is applied upon requesting the third withdrawal in the same day. I can't tell each time zone they use but it should be mentioned elsewhere. If you make your third request a day after it will be counted as withdrawal one in new day.
No, If I understand it correctly the screenshot shows that the 10% is applied on the payout request on the third deposit in that day and so on.
Just as the screenshot stated, today, you deposited 3 times, let us itemized it
You made 1st deposit and you played, then you request withdrawal, also known as a payout
All payout requests within the 1st deposit will be free, according to the screenshot, then your funds run out...
You deposited again, and that is the second deposit, you play and win and request payout 3x, all those 3x request will be free then your funds runs out.
You made the third deposit on the same day, then you play and won, now you request pay out, this time all request will be charged with 10% fee.
The 10% fee should be worth all those counting that the system is going through. I don't know about any other casino applying this kind of fee 10% at every third withdraw per 24h.
This is actually a rare event, I also don't see any casino having this kind of payout or withdrawal system. It is either free of charge or charged depending on the transaction fee, or a fixed rate charge.