Tyland Lannister Is Considered Untrustworthy (Dramatic Irony)
Following Cregan Stark's departure from King's Landing, Aegon III names Tyland Lannister Hand of the King. Despite being blind from torture ordered by Aegon's mother, Rhaenyra, Tyland dutifully serves Aegon and the realm, bearing no grudges about the past. People are unnerved by his disfigured appearance, so he begins wearing a hood. This choice, unfortunately, has the unintended consequence of people at court thinking he is suspicious and untrustworthy. In this instance of dramatic irony, the reader knows that Tyland is honest and forthright, despite the rumors surrounding his appearance. The reader understands that Tyland is actually a loyal Hand and that these other characters have failed to perceive his true character.
Dalton Greyjoy Is Murdered By His Wife (Situational Irony)
Dalton Greyjoy, a feared reaver from the Iron Islands known as the Red Kraken, is killed in a surprising manner. He is murdered by his lover, Tess, and the book describes his fate as notable in that he is "slain not by the sword of a foe, but by his own dagger, in the hand of one his own wives." In this example of situational irony, Dalton perishes in an unexpected way, as he spends so much of his time fighting for his life in battle, but is ultimately killed in his sleep, by someone he trusts intimately.
Jaehaerys Struggles to Find an Heir (Situational Irony)
Jaehaerys is known as one of the most competent rulers in the history of Westeros, ushering in an era of unprecedented peace and prosperity. At the same time, due to numerous personal tragedies, he has great difficulty finding an heir after the death of two of his sons. In this instance of situational irony, Jaehaerys faces one difficulty he cannot solve with diplomacy.
Aegon III Hates Dragons (Situational Irony)
Towards the end of the Dance of the Dragons, Aegon witnesses the death of his dragon, Stormcloud, and his mother being eaten by the dragon, Sunfyre. As a result, he hates dragons, as he is frightened of them, despite being a Targaryen. In this instance of situational irony, Aegon dislikes the creature that allowed his namesake and the rest of his family to rule Westeros.