By definition, the lunar south pole is located on the center of the polar Antarctic Circle, 80°S to 90°S. While the Vikram lander touched down near a site at 69.37°S and 32.35°E. Many article refer to it as near the south pole. So technically, the first to land on the south pole is still up for grab.

However China's south pole landing mission is Chang'e 7, scheduled to launch in 2026. So there's still three years of opportunity for other nations to try. Didn't check, there're probably other south pole landing mission within this time frame.

Comparing the design lifespan of Chandrayaan-3 to Chang'e 7, it's 2 weeks vs 8 years. In the Chandrayaan-3 mission, pride obviously has much higher priority than scientific research.