Just two weeks ago, President Trump threatened to wipe out Iran’s civilization if it did not open the Strait of Hormuz. Days later, he said any Iranian “who fires at us, or at peaceful vessels, will be BLOWN TO HELL!”

Yet on Wednesday, after Iran seized two ships near the Strait of Hormuz, the White House was quick to argue the action was not a deal breaker for potential peace negotiations.

“These were not U.S. ships,” Karoline Leavitt, the White House press secretary, said on Fox News. “These were not Israeli ships.” Therefore, she explained, the Iranians had not violated a cease-fire with the United States that Mr. Trump has extended indefinitely.

She cautioned the news media against “blowing this out of proportion.”

The surprisingly tolerant tone from the White House suggests Mr. Trump is not eager to reignite a war that he started alongside Israel on Feb. 28 — a war that has proved unpopular with Americans and has gone on longer than he initially estimated.

The president on Tuesday extended a cease-fire between the United States and Iran that had been set to expire within hours, saying he wanted to give Tehran a chance to come up with a new proposal to end the war.

The American military has displayed its overwhelming might during the war, successfully striking thousands of targets. But it remains unclear whether Mr. Trump will accomplish the political objectives of the war.

The Iranian regime, even after its top leaders were killed, is still intact. Iran has not agreed to Mr. Trump’s demands to turn over its nuclear capabilities to the United States or significantly curtail them. And the Strait of Hormuz, a key passageway for world commerce that was open before the war, remains closed.

Nevertheless, the White House has repeatedly highlighted the military successes on the battlefield as evidence it is winning the war.

“We have completely confused and obliterated their regime,” Ms. Leavitt said on Fox Wednesday. “They are in a very weak position thanks to the actions taken by President Trump and our great United States armed forces, and so we will continue this important mission on our own.”

The oscillation between threats and a more conciliatory tone has long been one of Mr. Trump’s signature negotiating strategies.

Potential peace talks between the two countries are on hold. Vice President JD Vance had been poised to fly to Islamabad for negotiations. But the trip was postponed until Iran can “come up with a unified proposal,” Mr. Trump said.

The United States recently transmitted a written proposal to the Iranians intended to establish base-line points of agreement that could frame more detailed negotiations. The document covers a broad range of issues, but the core sticking points are the same ones that have bedeviled Western negotiators for more than a decade: the scope of Iran’s uranium enrichment program and the fate of its stockpile of enriched uranium.

Mr. Trump has not spoken publicly about the cease-fire, other than on social media. On Wednesday, he also posted about topics including “my Apprentice Juggernaut” — a reference to his former television show; the Virginia elections, which he called “rigged”; and a new book about Supreme Court Justice Samuel A. Alito Jr.

Candidates in California’s volatile race for governor will meet Wednesday night for the first televised debate since Eric Swalwell dropped out, each looking to seize momentum in the tight contest.

The debate, being held at the television studio of KRON4 in San Francisco, will include four Democrats and two Republicans who are tightly bunched in recent polls, with many voters still undecided less than six weeks before the June 2 primary.

Mr. Swalwell, a Democrat, had just begun to emerge as a Democratic front-runner when his campaign swiftly collapsed after he was accused of sexual assault in news reports on April 10.

Candidates have taken relatively few risks so far in debates around the state, but every candidate is now eyeing a chance to jump to the front of the pack.

“Even though we have seen some movement in the last couple of weeks, it continues to be a fairly crowded, fractured field,” said Sara Sadhwani, an assistant professor of politics at Pomona College. “So candidates need to be able to grab attention in a debate like this.”

The debate comes as Xavier Becerra, a Democrat and former California attorney general, has enjoyed a surge of support in polls since Mr. Swalwell dropped out of the race.

Mr. Becerra and Matt Mahan, the mayor of San Jose, did not originally meet the threshold to participate in Wednesday’s debate when Mr. Swalwell was running. But they both qualified after receiving enough support in a follow-up poll that debate organizers commissioned once Mr. Swalwell had dropped out.

The other Democrats scheduled to participate are Tom Steyer, a former hedge fund manager, and Katie Porter, a former congresswoman, each of whom have been polling near the top of the Democratic field for several weeks. The Republicans in the debate are Steve Hilton, a former Fox News host who has been endorsed by President Trump, and Chad Bianco, the sheriff of Riverside County.

All candidates run on the same ballot in California’s nonpartisan primary, with the two who receive the most votes advancing to the general election, regardless of their party affiliation. The large number of Democratic candidates has created fear among state party leaders that their voters could splinter, potentially allowing two Republicans to sweep the primary in this heavily Democratic state.

The odds of that happening have decreased since Mr. Swalwell dropped out and another Democrat, Betty Yee, withdrew on Monday. But Rusty Hicks, the chairman of the California Democratic Party, still believes there are too many Democrats in the race and has urged those lagging in polls to end their campaigns. (The actual ballot will include 61 candidates for governor, most of whom are completely unknown to voters.)

The messy race to succeed Gov. Gavin Newsom, who cannot run for re-election because of term limits, has played out as the most unpredictable contest California has seen in a generation. It has attracted a sprawling field but no one with the star power of former Gov. Arnold Schwarzenegger or the political might of Mr. Newsom or former Gov. Jerry Brown.

Much of California’s Democratic establishment is still figuring out whom to back in the turbulent race.

Mr. Newsom has not endorsed anyone, saying he trusts voters to elect someone “who reflects the values and direction Californians believe in.” Representative Nancy Pelosi, the influential former House speaker from San Francisco, and Senator Alex Padilla also have not announced their favorites. Senator Adam Schiff endorsed Mr. Swalwell earlier this year but quickly withdrew his support after the accusations against him were published.

On Tuesday, Ms. Yee endorsed Mr. Steyer, praising his work to fight climate change and engage young voters. Mr. Steyer has swamped his competitors with a raft of advertising by pouring $134 million from his personal fortune into his campaign.

Also on Tuesday, Mr. Becerra, whose campaign had appeared to be flailing until Mr. Swalwell dropped out, received the endorsement of Robert Rivas, the Democratic speaker of the California State Assembly. Mr. Rivas said he had encouraged Mr. Becerra to run for governor because he was impressed by his work as California’s attorney general during President Trump’s first term.

“He understands both the policy and the politics,” Mr. Rivas said in an interview. “And he has a track record, in my opinion, of delivering results under pressure.”

The 90-minute debate on Wednesday begins at 7 p.m. PT and will be broadcast and streamed by KRON and other California stations.