Continuity mistake: When Dukat pours wine (in close-up) for himself and Adami, the glasses each contain very different amounts of wine as he puts the bottle down. But in the wider shot, he hands Adami her glass while holding his own, and both appear to have the same amount of wine.
Continuity mistake: When the Breen fling Dax into the cell after interrogating her, she (the stunt woman) lands front-down, facing her left side, with her left knee raised. (To clarify her body position, if she were vertical, it would appear her left foot was resting on the seat of a chair) The camera angle changes instantly so that we see Worf rush to her side as he kneels on one knee. But that knee is on the ground exactly where Dax's knee should still be. But it isn't, because both her legs are suddenly straight.
Continuity mistake: When every senior staff officer is in the conference room, watch Dax's rank pips. They change places from a shot to another, going (mentioning from left to right on her collar) from black-gold to gold-black and coming back to black-gold.
Continuity mistake: After Dukat kills Adami, he clutches a large book to his chest with his right arm. Sisko charges at Dukat, who, still clutching the book, turns to face Sisko. When the camera angle changes to show Dukat from behind, he is holding no book - and he wraps his right arm around Sisko as they fall off the cliff. The following overhead shot shows that Dukat still clutches the book (not Sisko) as the two fall into the fire. (The Region 1 'Season 7' DVD set includes this two-parter as a single, longer episode and my timecode is based on this fact).
Other mistake: Sloan arrived at the station to destroy the cure, and he and Bashir discuss the fact Sloan has to know what it is to be able to find it in Bashir's lab to be able to get rid of it. Sloan counters he could destroy the whole lab, and Bashir dismisses this as not subtle enough for Sloan. Obviously they've both forgotten that Bashir has perfect memory, so he'd need to be killed to get rid of the cure as well, not just destroy the lab. Something which Bashir would have brought up to back his point up, or Sloan could have used to defend his idea, destroying the lab with Bashir inside, getting rid of both.