In the last five encounters between the two teams, Afghanistan has won twice, while the West Indies claimed three victories.
Azmatullah Omarzai dented the innings at crucial moments, finishing with 3/46 and tightening his grip on the White Belt for leading wicket-taker.
Earlier in the day, the Bulls had advanced to the final by defeating the Quetta Qavalry in Qualifier 2.
With two points from three matches, Afghanistan now face a must-win situation in their final group game against Sri Lanka.
The encounter could prove decisive in shaping the group standings, with both teams vying for a place in the Super Four stage.
In response, Pakistan struggled to reach the target, managing only 151 runs for nine wickets, thereby falling short.