Final answer:
Al-Qaeda, led by Osama bin Laden, did not establish a formal headquarters in America. Instead, it operated through small, deeply embedded terrorist cells. Bin Laden was based in Afghanistan, and after 9/11, the U.S. took military action to dismantle Al-Qaeda operations.
Step-by-step explanation:
To address the question regarding the location of the primary headquarters of Osama bin Laden's terrorist network, Al-Qaeda, in America: There is no evidence to suggest that Al-Qaeda ever established a formal 'headquarters' in any American city.
Al-Qaeda, under the leadership of Osama bin Laden, was responsible for planning and executing the September 11, 2001, terrorist attacks from abroad. Prior to the 9/11 attacks, bin Laden was based in Afghanistan, not within the United States. The perpetrators of the 9/11 attacks were parts of terrorist cells deeply embedded in American society, but these cells did not constitute a central headquarters.
In the aftermath of these attacks, the United States led international military campaigns aimed at dismantling Al-Qaeda's operations and influence. This began with the invasion of Afghanistan to disrupt the support network that the Taliban provided to Al-Qaeda.