Question: When did this supposed co-leader of the Groundswell group serve as U.S. ambassador to the United Nations?

Context paragraphs:
John R. Bolton: John Robert Bolton (born November 20, 1948) is an American lawyer and diplomat who has served in several Republican administrations.  Bolton served as the U.S. ambassador to the United Nations from August 2005 until December 2006 as a recess appointee by President George W. Bush.  He resigned in December 2006, when the recess appointment would have otherwise ended, because he was unlikely to win confirmation from the Senate in which a newly elected Democratic Party majority would be taking control in January 2007.

Park Soo-gil: Park Soo-gil (, born October 18, 1933, North Gyeongsang Province) is a South Korean diplomat and the president of the World Federation of United Nations Associations, re-elected in November 2012 to a second three-year term in that office.  WFUNA comprises over 100 national UN associations, which promote and support the work of the United Nations in their countries, including educational programs such as model United Nations.  He is a former ambassador of the Republic of Korea to the United Nations, where he also served as president of the Security Council in May 1997.  Prior to that, he served as deputy foreign minister and as the Korean ambassador to Morocco and Canada.

Douglas Kmiec: Douglas W. Kmiec (pronounced kah-MECK; born September 24, 1951) is an American legal scholar, author, and former U.S. ambassador.  He is the Caruso Family Chair and Professor of Constitutional Law at Pepperdine University School of Law.  Kmiec came to prominence during the United States presidential election, 2008 when, although a Republican, he endorsed Democrat Barack Obama.  In July 2009, he was nominated by President Obama to serve as U.S. Ambassador to Malta.  He was confirmed by the Senate and served for close to two years as ambassador to Malta.  He resigned his post effective May 31, 2011.

Groundswell group: Groundswell is the name of an alleged "secret organization" of US conservative activists and journalists highlighted by the liberal publication Mother Jones in July 2013.  According to "Mother Jones", the group started out meeting in the offices of the conservative legal group Judicial Watch in early 2013 and is led by Ginni Thomas (wife of Supreme Court Justice Clarence Thomas) and John Bolton.

Eileen Donahoe: Eileen Chamberlain Donahoe is a former U.S. Ambassador to the United Nations Human Rights Council in Geneva, Switzerland, having been appointed by President Barack Obama in 2009.  (She was the first ambassador following the referent UN body changing from the predecessor United Nations Commission on Human Rights.)  After serving her term as ambassador, Donahoe was appointed as Director of Global Affairs for Human Rights Watch.  In 2014, she was also appointed to the board of International Service for Human Rights.  She is also a former affiliate of Stanford University's Center for International Security and Cooperation.  .

Nanguyalai Tarzi: Nanguyalai Tarzi (Persian: ننگیالی طرزی‎ ‎ , Pashto: ننگیالی طرزی‎ ) – is a high-ranking Afghan diplomat who is the Afghan Ambassador to Switzerland and Permanent Representative to the United Nations office and other international organisations based in Geneva.  Tarzi has been the Afghan Ambassador in India, and before that he was Permanent Representative to United Nations Office at Geneva and Afghan Ambassador to Switzerland, Afghan Ambassador to Pakistan and Director of the United Nations Information Centre in Iran.  From 1980s to 1990s, Tarzi was Permanent Observer of the Organisation of the Islamic Conference (OIC) to the United Nations, Geneva and Vienna and Senior Political Adviser and Deputy Permanent Observer of the Organisation of the Islamic Conference (OIC) to the United Nations, New York.  In the 1970s, Tarzi was Afghan Diplomat in Washington D.C., United States.

Ellen Margrethe Løj: Ellen Margrethe Løj (born 17 October 1948 in Gedesby, Denmark) is a Danish diplomat.  Between 2014 and 2016, she served as the Special Representative and Head of the United Nations Mission in South Sudan (UNMISS).  Prior to this appointment of July 2014 by United Nations Secretary-General Ban Ki-moon, Ellen Margrethe Løj served as the Ambassador to the United Nations for Denmark from 2001 until 2007.  She also served as Denmark's ambassador to the Czech Republic before she was appointed by the United Nations Secretary-General as Special Representative for Liberia in October 2007.

Zalmay Khalilzad: Zalmay Mamozy Khalilzad (Pashto: زلمی خلیلزاد "Zalmay Khalīlzād"; born March 22, 1951) is a former American diplomat and a counselor at the Center for Strategic and International Studies (CSIS) and president of Gryphon Partners and Khalilzad Associates, an international business consulting firm based in Washington, D.C. He was the United States Ambassador to the United Nations under President George W. Bush.  He has been involved with U.S. policy makers at the White House, State Department and Pentagon since the mid-1980s, and was the highest-ranking Muslim American in the Administration of U.S. President George W. Bush.  Khalilzad's previous assignments in the Administration include U.S. Ambassador to Afghanistan and U.S. Ambassador to Iraq.  In 2017, he was considered for U.S. Secretary of State under the Presidency of Donald Trump.

Permanent Delegate of Australia to UNESCO: The Permanent Delegate of Australia to the United Nations Educational, Scientific and Cultural Organization is an officer of the Australian Department of Foreign Affairs and Trade and the head of the delegation of the Commonwealth of Australia to the United Nations Educational, Scientific and Cultural Organization (UNESCO) in Paris, France.  The position has the rank and status of an Ambassador Extraordinary and Plenipotentiary and is but one of Australia's representatives to the United Nations and its other bodies, shared with the representatives present at the United Nations Office in Geneva, the United Nations Office in Vienna, the United Nations Office at Nairobi, and the delegation to the United Nations Agencies in Rome.

United States Ambassador to the United Nations: The United States Ambassador to the United Nations is the leader of the U.S. delegation, the U.S. Mission to the United Nations.  The position is more formally known as the "Permanent Representative of the United States of America to the United Nations, with the rank and status of Ambassador Extraordinary and Plenipotentiary, and Representative of the United States of America in the Security Council of the United Nations"; it is also known as the U.S. Permanent Representative, or "Perm Rep", to the United Nations.

Supporting paragraphs: Groundswell group John R. Bolton
Answer: August 2005 until December 2006