Oil prices rose on Tuesday as a deal to end the Middle East war seemed further out of sight, with Iran saying it will adopt a more offensive stance and the U.S. ruling out extending a ceasefire agreement, heightening worries about energy supply.Iran will shift to a “fully offensive” military posture because efforts to negotiate a permanent end to the war with the U.S. have stalled, a senior Iranian official told Reuters on Monday, as Washington ruled out extending a temporary ceasefire agreement.Outward progress towards peace talks and a resumption of oil tanker traffic through the strategic Strait of Hormuz has ground to a halt, threatening to extend the conflict that the U.S. and Israel launched with attacks on Iran on February 28.Brent crude futures climbed 27 cents, or 0.3%, to $91.14 by 0003 GMT, after rising to their highest since July 30 on Monday.U.S. West Texas Intermediate crude futures were up 42 cents to $85.04 a barrel, after earlier gaining more than 1% to $85.37, their highest since July 31.“Oil has jumped to start the week as U.S.-Iran relations look increasingly shaky. A deal to reopen the Strait of Hormuz still does not appear to be in sight, and shipping numbers remain at a trickle,” said chief market analyst at KCM, Tim Waterer.Following attacks on tankers, only five commodity vessels transited the Hormuz Strait on Saturday, with none registered for Sunday, ship-tracking data from Kpler showed, versus 31 in the prior weekend.Yemen’s Houthis attacked what they described as a Saudi military ship and four escort vessels in the Red Sea with missiles, according to the group’s military spokesperson Yahya Saree on Telegram.“The dual chokehold on the Strait of Hormuz and the Bab el-Mandeb remains highly significant. These are not secondary concerns. They sit at the centre of the current supply-risk narrative,” KCM’s Waterer said.Iran has been separately negotiating an agreement with Oman on managing the strait and says they are close to a deal. But Trump responded to those negotiations with a threat to bomb the Gulf state, a longstanding U.S. security partner.In a glimmer of hope for diplomacy, though, media reports said Trump had opened back-channel discussions with the Islamic Revolutionary Guard Corps.U.S. crude oil stockpiles were expected to have fallen last week, along with product inventories, a preliminary Reuters poll showed on Monday.