Why does a ceasefire between the US/Israel and Iran have to include Hezbollah? That's not a logical necessity. That may be a choice Iran is making, but they don't have to make it. It's part of their 10 point proposal, but the US and Israel have not and never will agree to all 10 points. So where did this idea that Hezbollah is part of the ceasefire come from? Shehbaz Sharif apparently claimed it was
in a tweet but I can find no confirmation that the US and Israel actually agreed to this.
I don't know why the US or Israel would agree to that, nor do I think it's an honest demand from Iran either.
They don't actually control Hezbollah, they can't actually stop Hezbollah from launching attacks. So even if the cease fire did include them, that would mean the US could resume hostilities against Iran even if Iran did nothing at all to violate the cease fire. Why would Iran want to put themselves in that position? It seems to me that any cease fire with Hezbollah should be negotiated separately with Hezbollah.