You will first have to apply for the TARC and then the work permit…As a previous poster stated—> “TARC holders with only ROC nationality have open work rights, TARC holders who are dual citizens do not have work rights and need a work permit.”. Hence, in your case (as a dual national), you will have to apply for a work permit after getting your TARC…here’s the link to the previous thread.
Here’s some more info on the TARC+work permit—> Click me