Great video as per usual. I totally agree with subtext being the hardest part of writing dialogue, god knows I've struggled with that.

There are a few other things that stood out to me in this scene, the use of levels is another way Tywin asserts power, when he wants to be imposing he walks up the steps to make the person he's talking to look up at him, this makes it visually clear who is in power. An old dramatic trick but it works wonders. I also love how the king asks Tywin a question and he doesn't say a word for a very long time as he climbs the steps, as if to say the king doesn't have the authority to ask him questions and he'll respond in his own time.

"Feel free to skip ahead", as if anyone would miss the chance to see Joffrey squirm in front of Tywin again.

Joffrey: But I've never been owned

Tywin: You are being owned at this very moment.

I like how Tywin isn't dismissed, he decides when the conversation is over.

I love how Tywin never ends his sentences with, "you little shit," but it's so heavily implied that doing so is unnecessary.

I like his physical answers a ton.

When Joffrey complains about walking up the steps of the tower of the hand, Tywin could have made his quippy remark from below. But he responded first, by climbing stairs.

This scene is actually Joeffry at his most competent. He's worried about a credible military threat and aware that his grandfather is usurping power.

I think everyone is aware just how amazing Charles Dance was in GoT, but Jack Gleeson absolutely nailed this scene (and many others).

In addition, when Joffrey calls the dragons "curiosities", imitating his grandfather, it shows how his grandfather is the one in control of the conversation, since Joffrey is changing himself, the words he uses and the way he talks in order to fit his grandfather's  style, showing that he is the dominant one.

I also love how Tywin just walks away, rather than being dismissed by the king like anyone else would.

I just love the delivery of “We could arrange to have you carried”

Joffrey complains about having to climb the stairs of the Tower of the Hand and The Hand climbs the stairs to the iron throne to tower over him. Beautifully executed.

Dany: "Jon, I'm pregnant."
Jon: "I dun wun it."

Ironically enough, Joffrey is the one being reasonable and forward-thinking in this scene while Tywin is too busy trying to win the pissing contest with his grandson.

One point missed in this video is how Tywin responds when Joffrey complains about having to climb the stairs in the Tower of the Hand: he slowly and purposefully walks up the steps to the throne. Aside from the intimidating effect, it also serves as a silent judgement of Joffrey's laziness, as if Tywin is saying "yes, and look how easy it is to walk up a few stairs."

Also worthy of note: does not kneel or bow, approaches without permission and leaves without permission.

Season 1-4: Consistently clever dialogue with fantastic delivery that often evokes questions of philosophy

Season 8: VaRyS nO cOcK 😂😂😂👌🏼👌🏼

Tyrion: You just sent the most powerful man in Westeros to bed without his supper

Tywin: You're a fool if you think hes the most powerful man in Westeros.

That's one of my favorite lines by Tywin

The camera-work is also really impressive:  At first, Tywin is shown clearly beneath Joffrey, but as the conversation continues the camera's angle shifts to over Tywin's shoulder, making it look as if the two are on the same level.  After Tywin climbs the steps, that same angle is used, now leaving him towering over his grandson.  The shot/reverse-shot segments further show Tywin above Joffrey, highlighting his power in the scene.  Finally, as he leaves, the focus and perspective as he walks towards the camera place Joffrey clearly in the background, with Tywin in the center of the shot and growing larger, never looking truly below Joffrey despite descending the steps.

"may I ask why" is NOT seeking permission, he is asking it in a snarky way, he's being rude back to Tywin for what he's doing to him this whole convo, undermining him. Just look at how he is delivering that line.