There is no link between that transaction and PuraPuraBego.
Although PuraPuraBego may have stated "although this double spend, fund will be filled back to my account", that could have just as easily been a miscommunication error - it's heavily implied that instead of double spend, they meant "unconfirmed input".
I'm not sure why you wouldn't want to refund (at least some of) the bets given that they were confirmed. Do you seriously mean to say that PuraPuraBego had won all 9 of those bets? Do you have the history for that?
I'm asking the question again:
How did you manage to "lose" your wallet? It couldn't have possibly had only one address in it (which was the one that gained the 0.9 BTC) could it? If it in fact
is only one address, then how did you initially fund the wallet?