I've just seen Jaime apologize to Bran for pushing him off the tower in Game of Thrones. When does Bran remember and how does Jaime discover Bran has remembered in the series?
Since becoming the Three Eyed Raven, Bran has the ability to remember, well, everything that's ever happened in Westeros, including how he fell from the tower (although given that Sam was able to tell him some, ahem, surprising news, it seems that he doesn't just "know" everything in the past). Bran also has a habit of repeating things he never could have heard people say, just as a subtle way of saying "just so you know, I know". As he throws Bran from the window, Jaime quips to Cersei, "The things I do for love". When Bran paraphrases this line back to Jaime while staring him in the eye in S8e2, it becomes clear to Jaime that Bran knows what happened.
He does something similar with Littlefinger, quoting "chaos is a ladder" at him, despite it being impossible for him to have heard the original conversation.