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I think it does.. But, it takes that from the tokens you're swapping. But, if you want to transfer ETH to external wallet, it will ask for a fee to be paid in ETH. (haven't tried it. But, read it somewhere).

Yeah, swapping has a fee, but regular transfers, buy/sell orders etc doesn't have gasfees. Maybe some fee for using the given dex, but I'm far from sure of that 😄