American with Taiwan born Parent: TARC, NWOHR, NHI, Dual Citizenship, Double Taxation,

Legal Dual Nationality
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How does the Mainland Travel Permit for Taiwan Residents work when visiting the Mainland with dual citizenship?

Does the mainland only factor in the Travel Permit even if I hold a U.S. passport? I have a Chinese visa in my US passport too.

New legislation- TARC still needed for NWOHR?