Israel and Lebanon reached a US-mediated ceasefire framework on June 4, announced jointly by the State Department and both governments. Terms: full ceasefire contingent on Hezbollah halting attacks and withdrawing all operatives from south of the Litani River. Lebanese Army assumes exclusive control of designated pilot zones in southern Lebanon, free of all non-state actors. Political and security talks resume the week of June 22.

Hezbollah has not commented. Both sides continued exchanging fire Wednesday night and Thursday morning.

Why this matters for Hormuz: Iran cited Israel’s Lebanon offensive as its explicit reason for suspending MOU text exchanges on June 1. A state-to-state ceasefire framework - even one Hezbollah has not endorsed - gives Iran’s moderates a fact to reference when arguing talks should restart. Iran does not control the Lebanese government. A Lebanese state commitment to the framework is structurally different from a Hezbollah commitment, and as we argued in The IRGC Veto, what Iran’s politicians sign is not always what its hardliners deliver.

Araghchi stated Wednesday there has been “no significant process in recent days.” Money remains the core sticking point in the MOU - frozen Iranian assets, scope of sanctions waivers. The Lebanon framework does not solve financial terms. It may be enough to unlock the text-exchange channel suspended June 1.

Alert-detection check: Oil moved -0.86% (below the 5% single-session threshold). No chokepoint status change. No leadership change. Diplomatic breakthrough criterion met: state-level Israel-Lebanon agreement under US mediation, directly addressing Iran’s stated talk-suspension condition.

Key watches: (a) Araghchi statement on Lebanon framework in next 24-48 hours - any acknowledgment that the precondition is met signals talk resumption; (b) IDF activity in southern Lebanon - a major new strike resets the framework before it starts; (c) Hezbollah formal response; (d) CENTCOM June 4 air defense strikes proportionality assessment from Iranian state media.

Updated probabilities: MOU signed this week ~12-15% (up from 8-10%). Extended stalemate ~60%. Bab el-Mandeb activation ~24% (down from 26%).