BCgame use the same ETH address to accept the Bitcoin deposit on ERC20 and BEP20 network. Therefore, you should have received the deposit on your BCgame account which you have sent by mistake. Have you checked the WBTC coin balance on your account? Search WBTC from the coin filter and see whether it has been added to your account balance or not. I have added your transaction link on your post, and you have indeed deposited 1 BBTC to your BCgame ETH address (which should be your WBTC deposit address too).
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I think everything you wrote is correct but it has not been credited and my WBTC balance is 0.