Entering Shanghai as a US/SK dual passport holder living in Taiwan…

I’m currently living in Taiwan on an ARC under my U.S. passport. I’m hoping to travel to Shanghai for a few days, but am unsure with which passport to book my exit and return flights.

My current plan is to book with my U.S. passport and ARC, leave Taiwan with those, then enter Shanghai with my Korean passport. After the trip, I would then exit Shanghai with my Korean passport, then enter Taiwan with my ARC and U.S. passport. Would there be any issues with checking in or immigration if I move forward with this plan?