Earlier quoted context omitted.
Gaza and Lebanon were not part of the cease fire agreement. Besides, After the first round of hostilities the ceasefire agreement reached between Israel and Lebanon included the disarmament of Hezbullah, and sending the Lebanese army to take the south under control. None of which was done, so Israel had to do it by itself
Like you I do not have a direct line with the diplomats of the involved countries, but every major news outlet was including Lebanon in the agreement. What Israel is doing by itself is occupying more land and vilifying the concept of humanity, not "taking the south under control". Let me remind you that Hezbollah has founded as a direct reply to the '82 invasion of Lebanon by Israel. The whole source of pain, misery…
Israel never said anything about having accepted an agreement, and in fact stated the opposite. The Pakistani mediator can't just declare Israel part of an agreement without its, well, agreement.
> Hezbollah has founded as a direct reply to the '82 invasion of Lebanon by Israel
Which was a rather necessary response to the PLO attacking Israel from Lebanon. Or what would you have expected Israel to do instead?