Rhetoric of the duel
Aaron Burr is the one who shoots Hamilton dead, his first friend in the political game, and his enemy to the end
Friends and rivals but what do they fall for?
Aaron Burr seems to (finally) have found something to fight for. The election of 1800 is where all of his butting heads with Hamilton comes to a... head. The rhetoric is friendly - for now.
Cabinet smackdown interrupted by a walk-off
When Washington pulls Hams aside, this is what the argument is really about: being friendly or being decisive - and we all know what side Hamilton is on.
Jefferson fires back, though his gun is in France, just like this loyalty
In Cabinet Meeting #1, Hamilton accuses Jefferson of being unable to relate because he didn't fight in the Revolution (fair), but here, in Cabinet Meeting #2, Jefferson retorts with Hamilton's lack of loyalty to France and the stance of not taking a stand with France against oppression.
The light of hope at the end of an era
Hamilton's words take a decidedly optimistic turn during this aside during The World Was Wide Enough; that's how we know it's the end because he needs to look back and know he did, if not enough, at least the best he could.
Jefferson ain't afraid to play dirty
The scraps and low blows that Jefferson and Hamilton exchange in these cabinet meetings are beneath most intelligent people - you'd think. But it really shows that rivalry in a dog-fighting kind of way, where they share almost nothing but a drive to make something great out of America (though "great" means something different from every perspective).
Burr is all grace all the time
It's Hamilton and Jefferson who get into scraps, but Burr stands above and aloof and, seemingly, unaffected. But Hamilton, man, he's willing to call them all out, just before exclaiming that even though he's never agreed with anything Jefferson has fought for, at least Jefferson's "got beliefs"
Hamilton mimics speech patterns and eloquence
Though his quick wit follows him everywhere, the level of his language and the presence of insults change from person to person. Jefferson is a dog, a Virginian, a slave-owner, but Burr, despite it all, is still a friend. And Hamilton treats him like that, even as they spurn each other. (Note, the call to duel is also still eloquent, if angry, and all the rhetoric surrounding the duel has a semblance of eloquence that any "conversation" between Hamilton and Jefferson lacked.)
A tragic end with a beautiful backdrop
Aaron Burr sings a lament as Hamilton is carried off - about history and how it all ends, about who gets to spend their legacy in history texts and who gets rewritten, discarded, and left with the rest of those whose names are lost. It lacks Hamilton's end-of-show positivity, it lacks Washington's inspirational show of civility, and it's most definitely not Jefferson's dig-in-the-dirt spitfire rapidity. Only Burr has that level of longevity and brevity. (Yes, the rhymes are purposeful.)