Calling the Embassy is a poor use of your time. Either the staffer gets it right and you have good information or the staffer gets it wrong and you are stuck with a poor opinion. Just follow the CBP guidance which makes it clear that as of today, you likely require a visa. If you look further through the CBP guidance, you will find guidance that if you traveled to a designated country after the issuance of your ESTA that you reapply for an ESTA or visa as the case may be.
Under the Act, travelers in the following categories are no longer eligible to travel or be admitted to the United States, without a waiver, under the VWP:
Nationals of VWP countries who have traveled to or been present in Iraq, Syria, Iran, Sudan, Libya, Somalia, or Yemen at any time on or after March 1, 2011 (with limited exceptions); and
Nationals of VWP countries who are also nationals of Iraq, Syria, Iran, or Sudan.
These restrictions do not apply to VWP travelers whose presence in Iraq, Syria, Iran, Sudan, Libya, Somalia, or Yemen was to perform military service in the armed forces of a program country, or in order to carry out official duties as a full-time employee of the government of a program country. We recommend those individuals who have traveled to one or more of the seven countries listed above for military/official purposes bring with them appropriate documentation when traveling through a U.S. port of entry. However, these exceptions do not apply to the restriction for dual nationals of one of the subject countries (“dual national restriction”).