But, at its core, the Taliban’s move to curtail the agency’s operations is centered around its income stream, specifically the Haqqani’s network of illicit and legal operations that make up a significant chuck of the insurgent group’s coffers, the officials said. The Haqqani Taliban is known to run mob-like extortion rings as well as smuggling drugs, people and weapons over the Afghan-Pakistan border.

The notion of “reduced violence” in Afghanistan has been a moving target for American officials for weeks, as the Taliban claim to be upholding the signed agreement while killing Afghan forces in the country’s hinterlands at a level that military officials see as unacceptable.

On Wednesday, at least 13 Afghan soldiers were killed in Logar Province when Taliban fighters attacked their checkpoint, and more than 30 pro-government forces have been killed in the last week, according to data compiled by The New York Times.

The Taliban have accused the Americans of violating the deal when U.S. air support is called to help beleaguered Afghan units or Afghan units attack Taliban forces. The insurgent group has also refused to consider a cease-fire without the release of 5,000 prisoners held by the Afghan government.

American officials have plainly rejected the Taliban assertions, saying that the United States has upheld its end of the agreement.

The initial reduction in violence, a seven-day period at the end of February agreed upon by both the United States and the Taliban as a precursor to the agreement, was expected to continue following the signing on Feb. 29 in Doha, Qatar. But shortly afterward, the Taliban stepped up attacks throughout the country almost simultaneously as the government in Kabul dealt with the initial novel coronavirus cases that had flooded over the western border with Iran.

One of the best known agency-advised militia groups is the Khost Protection Force, operating in eastern Afghanistan. As the main Afghan unit commanded by the Afghan National Directorate of Security — the country’s C.I.A. equivalent — and supported by agency personnel and American military advisers, the Khost Protection Force has been championed by many U.S. officials as one of the most effective military forces in Afghanistan.