Even though the United States' military ultimately won the Tet Offensive...
Responses

it was unable to maintain that momentum, and lost a series of battles that followed.
it was unable to maintain that momentum, and lost a series of battles that followed.

critical TV coverage of the Tet Offensive & of the Johnson administration's handling of the war led many Americans to no longer support U.S. involvement in Vietnam.
critical TV coverage of the Tet Offensive & of the Johnson administration's handling of the war led many Americans to no longer support U.S. involvement in Vietnam.

China sent in their own regiments of troops to counter America's advances.
China sent in their own regiments of troops to counter America's advances.

it caused the Johnson administration to fear similar attacks, so they effectively convinced the American public that a new/additional surge of troops was now necessary.