I'm not searching how to do it. We've been homeschooling our child since the beginning, we have no issue with that.
Regarding the law in Singapore, we're on expat forum, the law in Singapore does apply only to Singapore citizen. Your article should mention that :
3.—(1) A child of compulsory school age who is —
(a) born after 1st January 1996;
(b) a citizen of Singapore; and
(c) residing in Singapore,
Non-citizen child do not require any authorization or exemption to be home schooled. Your link is misleading on an "expat" forum.
Sources : https://sso.agc.gov.sg/Act/CEA2000
I'm only searching expats homeschooling their child to organize common activities.