US law is born in US, automatically becomes citizen.
Here in Taiwan is a bit more complicated. OP should have done that when he was 18, now it is a bit difficult.
Article 9 A foreign national who applies for nationalization according
to Article 3 to Article 7 shall provide the certification of
his/her loss of previous nationality
EDIT: used to be only father counted, now both can "pass on" nationality to child, but, and this is the big but, there is a cut at a certain age. For example, some people -around 30- would be out of the chance to become Taiwanese. That's the way the cookie crumbles.