London-Tokyo-Taipei-Shanghai-London non-stop

Have British Passport
Going to Taiwan, flight to Shanghai, staying for 5 days in total about 120 hours. Flight back to London

Itineraries are below, All Flights are Non-stop

London-Tokyo-Taipei-Shanghai-London non-stop

Possible travel with transit visa once we land in Shanghai, our stay will be around 120 hours.

Can we travel get Transit Visa in Shanghai?