Assume the ban is for life and you can never enter SG again. It is that serious. Our admin SMS has told the story of his nephew’s ex-wife many times.
Just relocate and permanently settle the whole family in your home country.
The most ICA might give is a short LTVP for you to give birth here but after that, you can’t be in SG anymore. LTVP also not guaranteed either so don’t be surprised if you get rejection for that too.