In which scenario is it necessary to file a form it-203c

Hello dear community,

 

married filing jointly. spouse and I both live in New Jersey. I work in nj and only receive nj state income. My spouse works in nyc and only receives ny state income.  Aside from filling out the it-203 form, how do I know if I need to also fill out the it-203c form. Thank you so kindly for all of your help and advice.