My Itinerary USA -->Hong Kong (transit) --> Shanghai -> Taipei --> USA

My original itinerary is USA -> SH -> Taipei -> USA

With this itinerary, the first fight from USA to SH has one connection stop at Hong Kong. So therefor, it will look liked this:

USA -->Hong Kong (transit) --> SH -> Taipei --> USA

Is this itinerary valid for the 144-hour Visa-Free transit?

Thank you so much