Not that I know its actual depth, that bukit jalil stadium has gone through renovation just last year btw, and I haven't visited for many years.

the typical public pools have the design where the depth goes from shallow to deeper (2~3m) as you swim towards the end.

One I knew of is the Shah alam Aquatic center which has an outdoor shallow pool, well, it's meant for family especially kids, I visited it once and never wanna go back anymore, couldn't swim at all with all the crowds in the pool.
And the above experience had pushed me to go for deep pool instead which actually helped improving my swimming experience more.
I am not sure how far you have learned about swimming, but you should spend time down below water near the side of the pool until you learn a way to afloat and have eventually got rid of the fear that keeps you sticking to the pool side, so you can stick around the middle section of the pool before the drop. This doesn't require you to swim at shallow pool, in fact a deeper pool is better, just that you need clearance and not in the way of other swimmer. But veterans usually stay in the middle lanes.