It depends on their system. But I know for sure that if you generated, say, 3 addresses and sent coins to each of them, all your coins will arrive to your game account (note that the replenishment amount must be higher than 10 dollars). But if you replenish one of the addresses twice, the second deposit will not be credited, since after the first transaction the address is deleted from the system.
Thank you.
Your answer is helpful technically because I am aware that if the team warn it, any user must be careful and don't make mistake in addresses they deposit their coin to. If it is not serious, the team did not warn about it for their customers.
I asked that question because I thought that with HD wallet, I guess exchanges and casinos use HD wallets for their customers, so with each user, there is an assigned wallet for the user, and all child addresses generated for that user can all be used. Coins don't disappear anywhere, just in that wallet.