Iran live updates: IAEA inspectors will visit Iranian nuclear sites, but timing is unclear, director general says

Thirty-one crossings were recorded in the strait of Hormuz on Tuesday, according to Kpler.

At least 17 tankers carrying Iranian cargo are currently in transit, carrying approximately 14.8 million barrels, according to maritime intelligence companies Windward and Vortexa.

"Iran's oil exports are back to normal," Windward analyst Michelle Wiese Bockmann noted.

Twenty of the 31 crossings on Tuesday were outbound transits, ships leaving the Persian Gulf, Kpler said.

"The use of Iranian, Omani and IMO routes points to functioning passage patterns under the US-Iran MoU, but seven dark or unknown-route crossings underline that transparency remains incomplete. With no new physical attacks confirmed since 10 May, the picture is improving, though not yet fully normalised," Kpler said in a situational update.

President Donald Trump said Iran told the U.S. there would be "NO TOLLS, NO INSURANCE COSTS, & NO OTHER CHARGES OF ANY KIND" for ship navigating the Strait of Hormuz.

Claims to the contrary are "troublemaking" false reports, Trump said in a post on social media.

The U.N.’s nuclear watchdog will inspect nuclear sites in Iran under the terms of the memorandum of understanding signed by Iran and the United States, the group's director general said on Wednesday.

When those inspections will happen is a different matter, Rafael Grossi, director general of the International Atomic Energy Agency, told reporters in Japan on Wednesday.

"Whether this happens the day after tomorrow or in one week or in ten days, it's important, but not essential," Grossi said. "This is going to happen. Of course, if they want to comply with the agreement. If they don't want, it's another matter."

He pointed to one of the terms in the memorandum, saying it "says explicitly that the nuclear activities that are going to be carried out with the regards of the nuclear material facilities will be supervised by the IAEA."

President Donald Trump on Tuesday said Tehran had agreed to those inspections. A spokesperson for Iran’s Foreign Ministry earlier in the day said the country didn’t "have any plans" to allow IAEA teams to visit sites damaged during the current war and the 12-day war in 2025.

-ABC News' Joe Simonetti

The Senate has adopted a House-approved Iran War Powers resolution 50-48 in a symbolic, yet rare, rebuke of President Donald Trump.

Republican Sens. Bill Cassidy, Susan Collins, Maine, Lisa Murkowski, Alaska, and Rand Paul, Kentucky, voted in favor of the resolution while Democrat Sen. John Fetterman, Pennsylvania, voted against it. The four Republican Senators that voted for the resolution have previously joined Democrats on other Iran War Power votes.

Because this is a concurrent resolution, it does not require the president’s signature nor does it carry the force of law; however, it is emblematic of the growing concern both chambers have now voiced with Trump’s handling of the war.

Tuesday's rebuke comes as Trump is expected to huddle with Republican senators on Wednesday to speak on a wide range of topics. Multiple Senators said they are hoping to garner more information out of Trump on the ongoing negotiations with Iran.

-ABC News' Lalee Ibssa