The agent doesnt have to sneak anything in. Their contract is with the seller who is legally obligated to pay them whatever the agrred upon commission was. How they split that is up to them and they have no obligation to share it with you or the seller.
FYI, 6% is rare and most are 4 to 5% these days so you dont have as much to gain as you probably thought. Second, when the agent has to represent both sides (and legally it is not as easy as saying buyer is unrepresented) they deserve to be paid something for doing that also. How much depends upon what you could negotiate but why wouldnt they just sell it to someone else and let the buyers agent do all the work for the same amount? If you are lucky you may be able to squeeze out 1% perhaps as much as 2%. The question is whether it is worth giving up representation. You wont know until its over. Based upon your questions, it does not sound like you are knowledgable so my guess is you’ll probably get yours but you never know. Maybe it will work out for you.