I think like I already said multiple time that it stopped the full scale war to continue.
I'm not quite sure we're talking about the same thing, but I'm also not quite sure we're disagreeing. The pressure from the closure of the strait is for sure a major (although I'd argue that it's perhaps not in-of-itself the direct majority - it's closure for sure lost Trump domestic support for the war though) reason Trump balked at continuing the war. But at the same time, the strait was closed for months and for most of that time it had a negligible impact on Trump's willingness to continue; so while it is a powerful means of pressuring the world economy, it's not one that couldn't be bypassed should Trump decide the temporary hardship of a closure during a true commitment of forces outweighs the cost to his ego (and all the other reasons he wants it restarted, but the man is damnably ego-driven).
If you are talking about the mou between the USA and Iran, they didn’t
Yes exactly, it's an agreement between the US and Iran. That's the problem with it - it binds Israel without Israel being a party, relying instead on trump's winning personality and diplomatic skill to enforce the terms instead (you may be able to see why I am concerned).
If you talk about the deal between usa/lebanon/israel then that deal give Israel the right to response to anything they deal against Israel national security.
Yeah, exactly. Israel does this so often I suspect my cat is aware of the pattern - sign a "ceasefire", use that time to regroup and prepare for the next stage. I assume that's why they've been setting up the occupied Lebanese territory to be so easily recaptured and difficult to fortify for the LAF.
And on top of that, when the Israel/Lebanon deal collapses the US agreement with Iran (theoretically) goes along with it. I don't see any other reason they would have signed, especially since (as far as can tell) Trump has done nothing to pressure Israel into the deal. There's no indication that Israel is planning to actually stop, and if they play it right they can drag the US back into the fight right along with them.