Binance as wallet?

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Not sure if this is a stupid question but could Binance be used a wallet? For example, if I were to trade TF2/CSGO items for bitcoin/ethereum is it possible to give them my Binance deposit address and have the coins just go straight to my Binance account? Instead of having them send the coins to my hardware wallet and then I send the coins from my hardware wallet to Binance?

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