Winning GAs for the same game after each reroll - can I be removed from the reroll pool?

I've recently entered GAs for Jagged Alliance - Back in Action created by Hedzik. Knowing my lack of luck, I entered most of those and obviously haven't won even one, once they were all finished. However, I've managed to won it again, after the creator rerolled one guy who won 3 copies.
I'd be glad if the story could end here, but it doesn't. Some hours later, I've won a reroll on another GA, told the creator and asked him to reroll and today after the rerolls, I've won the same game once again. The creator is a bit fed up with how much hassle he has to bear in order to just finish those GAs, so the question is, is there a possibility to remove myself from the pools of future rerolls of those GAs in some way? They had only few entrants (the 5+ ones had like 10-20), so I'm afraid the system will choose me again on another GA.