Nope no nursing rooms in Tanjong Pagar area from previous experience. You can ask the events training company if there is a meeting room you can use. Otherwise, you can always drop by theasianparent office down the road at Telok Ayer and use our baby room to pump :)
Peisi, hope you found a place as you are already day 2 into your course! Otherwise, try M hotel which is just diagonally across the road fr IP!
I know this may sound strange, but in case of desperation just go into the female toilet or handicap toilet. I always do it in case of emergencies.
Thanks for the offer rosh!