“Life chance” is relative to his peers. Given limited resources, some students would receive more than other students. Singapore system is based on benchmarks — meritocracy.
In the U.S. system, good schools provided more “life chances” but students must be motivated to “get it”. So I think perhaps the best resource for my son is a good school with motivated fellow students.
In the U.S. you might be able to enroll in such a good school by renting in a good school district.
Some schools have special resources in the form of programs in outdoor activities, or arts, or …
Some high schools offer more AP courses than others, but it’s up to the student to work on them. U.S. system is like buffet.