What is the president’s inner circle of foreign policy advisers called?

The correct answer is the National Security Council. The National Security Council advises the president on national security and foreign policies and assists the president in  coordinating these policies among government agencies.

The NSC was established by the National Security Act of 1947 while President Harry S. Truman was in office. It is made up of senior national security advisors and cabinet officials, including the Vice President, the Secretary of State, the Secretary of the Treasury, the Secretary of Defense, and the Assistant to the President for National Security Affairs. The position of statutory military advisor to the Council is filled by the Chairman of the Joint Chiefs of Staff, and the Director of National Intelligence serves as the intelligence advisor to the council. Others, like the Attorney General, are invited to attend meetings of the NSC if items on the agenda pertain to their responsibilities.