8. Cersei's Big News
Initially, this episode started sowing seeds of division between Jaime and Cersei. We already knew they were at odds over how to deal with Olenna Tyrell, but we get to see that play out here, and neither is happy with the other's choices.
That alone was a good move, and it enhances what comes next. Just when Jaime thought he was out, they pulled him right back in with the bombshell that Cersei is pregnant. Or so she says, anyway.
It's hard to know whether or not she's telling the truth, and Lena Headey certainly doesn't give it away, but what matters right now is that Jaime believes her. On the one hand it is a little frustrating, since it's another example of Show Jaime being weaker than Book Jaime, but in the context of the TV series and the character it's crafted, it works.
It's a blessing and a curse for Jaime, which fits with his character, and suits the way he is constantly pulled into things by his much smarter siblings; he knows that, and is powerless to stop it, something Nikolaj Coster-Waldau sells perfectly. And if she really is pregnant, it makes the notion of Jaime being the valonqar slightly harder to believe (would he really kill his unborn child?), but also much more tragic.
Of course, if she is lying (and there's a very good chance that is the case), then the discovery of that could be what puts the final nail in the coffin for their relationship, and frees Jaime to deliver on being the one to kill her.
There's also the question of Cersei's bigger plan here: it's not just to keep Jaime onside, because she's also now, surprisingly, agreed to meet with Daenerys, while meeting with Qyburn in secret. Previous schemes range from a giant crossbow to wildfire to reanimating the dead, so this could be absolutely anything, but it won't be anything 'good'.