Concept:
Chandrayaan-3, launched by ISRO, successfully achieved a soft landing near the lunar south polar region on 23 August 2023.
This was the first successful soft landing near the Moon's south pole.
Step 1: Recall the achievement.
The mission demonstrated
• Successful soft landing.
• Deployment of the Pragyan rover.
• Exploration of the lunar south polar region.
Step 2: Identify the unique milestone.
Hence,
\[
\boxed{\text{Chandrayaan-3 achieved the first soft landing near the lunar south pole}.}
\]
Therefore, the correct option is
\[
\boxed{(B).}
\]