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).
BCGame does not support wrapped btc.
Besides @burkender1 explanation is still not clear - I have withdrew coins from Binance several times and before you proceed with your withdrawal you first have to choose the coin you want to withdraw, you can’t just paste your wallet address as @burkender1 before you’ll choose the coin. If he had referred to the network (that’s still after choosing the coin) I would have believed him more.