Pakistan has been trying to reach out to the US in order to make it clear that Lebanon was included in the ceasefire. I think a realpolitk angle to this is that Iran is refraining from kinetic action in order to give Pakistan face in these negotiations. Let's not forget, Pakistan has a security agreement with Saudi Arabia and Iran has been bombing Saudi Arabia during this war. Despite the alliance, owing to Pakistan's pan-Islamic ideaology and reliance on Iranian oil, they've been hesitant to get directly involved on Saudi Arabia's behalf with their current war against the Taliban the perfect excuse. Plus, Pakistan has been sending humanitarian aid to Iran throughout the course of the war. I think its an arrangement Iran would rather keep, so they have to let Pakistan do its thing to salvage the situation diplomatically rather than taking the bait in blowing up the negotiations and not just invite another round of bombardment, but also alienate Pakistan.
Meanwhile, the Strait of Hormuz remains closed and Iran has valuable time to regroup its forces, restock its arsenal, and also prepare if the next stage of the war in the event negotiations break down really is a US ground invasion.
CBS News says Trump agreed that Lebanon was part of the ceasefire.
Immediately afterwards, the US government is saying Lebanon is not part of the ceasefire.
But now, the US is trying to "craft" a Lebanon ceasefire
Sources below
cbsnews.com/news/lebanon-israel-ceasefire-talks-us-washington
bbc.co.uk/news/articles/cgk0edynpmzo
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Remember that the US has inordinate leverage over Israel, if they ever choose to use this.
Republican President Ronald Reagan previously threatened to cut off Israel, because Israel was perpetrating a "holocaust" in Lebanon, as Reagan called it.
The result was Israel folding straight away.
Granted, this was decades ago, but Israel today is still critically reliant on the USA.
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So it's clear now that Trump never intended for the ceasefire to include Lebanon.
That implies Trump agreed to Iran's 10 negotiating points, presumably out of desperation (and never took them seriously) because he still thinks the USA holds more cards and also because the next level of escalation would be a disaster for him. The possibilities would be a protracted ground war in Iran or the destruction of all oil/gas/water/energy facilities in the Middle East, which would likely result in a global depression which will be blamed on Trump and the USA.
Even if Trump never intended for Lebanon to part of the ceasefire, nor to negotiate in good faith, I think there is now a lot more pressure on him to do so.
1. Now we have Iran, Pakistan, France, UK, Spain and Australia publicly saying Lebanon was or should be part of the ceasefire.
2. The oil shortages will really start hitting the world in the coming weeks.
3. Trump threatened that Iran's "whole civilisation will die tonight", implying a genocide via mass usage of nuclear weapons.