(Reuters) -U.S. Defense Secretary Pete Hegseth warned Iran on Wednesday that it will face consequences for supporting the Houthis, even as the United States has relaunched talks with Iran over its nuclear program. The United States and Iran have so far held three rounds of indirect talks, mediated by Gulf state Oman, aimed at sealing a deal that would block Tehran from acquiring a nuclear weapon but also lift crippling economic sanctions imposed by Washington.