I got a LOT of voice lines dumped on me, so I’m going to try and paraphrase/detail what I heard. It’s hard to get them all in order, but I’ll make an attempt. If you have a clip of more, let me know! I’ll keep adding to this list as I play more.
PHASE ONE
McCree asks Reyes who’s going to fill the void with Antonio’s death. Reyes lists Vitale (murdered in the Doomfist comic), Doomfist in Numbani, and Maximilian with a casino. (This means all three of these people were already players in Talon at the time of the mission.)
McCree asks Reyes why he killed Antonio. He asks if it’s because Antonio made Reyes mad, and absolutely spits ‘is that all it takes?’. Reyes snapped something back, but it was lost on me with an event shift.
After the murder, Genji asks Reyes who Antonio was. Reyes details that Antonio was an arms-dealer with a ‘variety of other interests’. (Genji apparently went on this mission clueless, and just killed/took out men as told.)
McCree apparently went undercover as an Italian waiter to help get Blackwatch in for the mission.
He was so bad at it, he got fired. McCree says ‘that guy was being rude, he had it coming!’ indicating that a scuffle emerged, verbal or otherwise, and that McCree doesn’t care to take shit. Reyes also calls McCree ‘Jesse’ here.
McCree asks Reyes how he’s going to handle the Strike-Commander. Reyes tells him to let Reyes worry about what ‘Jack needs to know’. McCree snarks back ‘you know you can’t shoot him’ and Reyes replies ‘no, but I can shoot you’.
DOCKS/HOTEL/ART
Genji says in the hotel ‘it’s a good day to die’ and in the art museum, how much he enjoys killing. Genji also remarks that it seems like ‘the whole city is out to kill them’, to which McCree replies, amused: ‘just how you like it’.
McCree asks Genji what it’s like being a cyborg. Genji replies, ‘Agony’. McCree then asks why he went through with it – Genji replies ‘I wanted to walk again’.
Reyes pages the pilot, saying ‘Pilot! Where are you?’ indicating the pilot is indeed a throw-away character and not someone of import. She berates Reyes and asks him to stick to the plan next time, to which he replies ‘Now where’s the fun in that?’
Moira laments that it’s not Masquerade. Reyes says he didn’t see her as that kind of person, to which Moira quips ‘You’re not the only person that likes to dress up’.
After the final Art Room phase:
Reyes: Enough art! Let’s get out of here.
McCree: Never had an eye for it anyway.
Moira: Philistines.
FINAL PHASE
Moira comments that ‘we need to talk about your Italian’ (likely related to the undercover waiter bit), which leads to McCree indignantly saying he thought it was pretty good, he watched some old Spaghetti westerns to learn, and then goes on to absolutely butcher an attempt at Italian with Moira tiredly asking him to never do that again.
*Additional Retribution lore:
The Talon soldiers remark that the Blackwatch team is hard to kill.
Reyes 24 SEP skin features his dog tags which list his Religion as none, meaning he is canonly agnostic or atheist even before Reaperfication.