Dubai: US President Donald Trump said on Tuesday Iran had agreed to nuclear inspections into "infinity" , despite Tehran's denials, and that unfrozen Iranian assets would be used to buy humanitarian supplies from the United States.But Iran denied it had begun discussions on its nuclear program at the talks, mediated by Qatar and Pakistan, and said it had not agreed to invite back International Atomic Energy Agency (IAEA) inspectors.WILL DECIDE ALONE ON USE OF ASSETS: IRANForeign ministry spokesperson Esmail Baghaei said on Tuesday Iranian officials had not held a meeting with IAEA chief Rafael Grossi in Switzerland and had no plans for the UN nuclear watchdog to inspect Iran's damaged nuclear facilities.Trump hit back, saying they were "protestations and false statements.""Iran has fully and completely agreed to highest level nuclear inspections long into the future (Infinity!!! )," Trump said in a post on Truth Social.He also said any Iranian assets unfrozen under the deal would be placed in an escrow account and used to buy food and medical supplies from the US "including Corn, Wheat, and Soybeans from our great American Farmers."Iran's ambassador to the United Nations in Geneva had earlier on Tuesday denied there had been any such agreement. "Iran is the only country to decide what to do with its assets, which are going to be defrozen, and so I reject any claim about that if there would be any role for any other country to have an influence on those decisions or on those processes," Ali Bahreini told reporters.ROAD MAP FOR TALKSThe conflicting statements highlighted the uncertainty facing negotiations to halt a war that has upended West Asia.Bahreini said "good progress" had been made in the talks and that two working groups would be established in coming days to focus on the removal of sanctions and Iran's nuclear activities.He told reporters five parts of the initial deal need to be fully implemented before negotiations begin on the nuclear dossier and any role for the IAEA.CONFLICT IN LEBANONThe ambassador said Lebanon was an "unquestionable" part of the interim accord between the U.S. and Iran, and that it included the withdrawal of Israeli troops from Lebanon.A ceasefire has largely held in southern Lebanon since Sunday, but Lebanon's Civil Defence and state media said Israeli gunfire had killed two people there on Tuesday. Hezbollah said the incident violated the ceasefire.Israel has said it will maintain a security zone in southern Lebanon and continue to act to "neutralise" threats against Israeli soldiers and citizens.Israel and Lebanon were due to start a new round of talks in Washington on Tuesday. Israeli strikes against Hezbollah in Lebanon have killed thousands of people and displaced millions.Service Cost for HormuzIran and Oman will study the costs to be charged for services provided in administering the Strait of Hormuz, the two countries said on Tuesday, insisting they held sovereignty over the waterway.Tehran has repeatedly said it plans to charge what it calls maritime service fees for crossing the strait, as opposed to tolls, a plan fiercely opposed by the US.In a joint statement on Tuesday, Iran and Oman emphasised their "sovereign rights over their territorial waters", but Muscat's foreign minister said on X that both sides were committed to "toll-free safe passage". They "agreed to maintain their dialogue on this issue through a joint working group between the two foreign ministries", the statement said. Agencies