Last November, a Dhaka court sentenced Hasina to death after convicting her of inciting and ordering killings, and failing to prevent atrocities during the 2024 unrest.
Lindblad briefly moved ahead of Lawson during the second stint before the New Zealander regained the position after pitting a lap earlier for fresh tyres.
India posted 170-4 after captain Harmanpreet Kaur struck 56 off 26 balls. Australia, in chase, were 68-3 in the 10th over before Ellyse Perry and Ash Gardner put together a 100-run partnership from 59 balls to take their side close to victory.
Spain, England, Portugal and Brazil were all unable to beat African opposition during the group stage, while Morocco have spoken confidently about becoming the first African nation to win the World Cup.