itinerary question. Okay for 144 Visa free?

TOKYO 3July- TAIPEI 3July( 3 hour layover) - SHANGHAI ( 140 hours) - TOKYO

Hello I wanted to visit shanghai on the 144 free transit. USA Passport.

I can book the below itinerary on same booking confirmation from airline and want to ensure this looks good for 144 hour free transit.

TOKYO - TAIPEI ( 3 hour layover) - SHANGHAI ( 140 hours) - TOKYO

Thanks for your feedback.