In Elu Metziot, (Perek 2 of masechet Bava Metzia), It establishes that Maot mefuzarot is lo haveh yeush becuase of R' Yitzchak's baraisa of Mashmesh. My only problem is that the baraisa adds "sha'ah vesha'ah", which means literally: "hour and hour", but it really means often. So it's saying that a man checks his pockets frequently so he gives up on it.
If that's what it's saying, it doesnt make sense to say its yeush, because sha'ah vesha'ah seemingly implys that he knew about the money falling almost instantly. Why would that be relevant? Because it would have to be that he checked his pockets in a time where its not hopeless to trace your steps and get the money back. So that has to mean he's leaving it up to the public, hefker. He's not giving up hope on the object, he just doesn't see the need to get it back. This also comes back in the later proof of the bread which the reason why you can take the bread is because he knows instantly when it falls out, which the rabbis also say that you are able to take the bread because of mashmesh. So the bread is obviuosly hefker and not yeush even without taking mashmesh into consideration.
So why is the gemara using yeush when it's really talking about hefker?