Final answer:
Operation Enduring Freedom was the international military effort led by the United States to remove Afghanistan's Taliban government and dismantle the al-Qaeda network following the 9/11 attacks.
Step-by-step explanation:
The military operation focused on forming and acting with an international coalition to remove Afghanistan's Taliban government is known as Operation Enduring Freedom. This operation, launched by the United States in response to the 9/11 attacks, had the goal of dismantling the Taliban government and eradicating the al-Qaeda network led by Osama bin Laden, who was given asylum in Afghanistan. With global support, the U.S. aligned with the Afghan Northern Alliance and received a mandate from the United Nations to secure the country, leading to the establishment of a new government and ongoing efforts to stabilize and rebuild Afghanistan.