Do we qualify for 144 hour visa free transit to Beijing as flight not nonstop (2 hour change over)

We are UK citizens and fly by Etihad from London Heathrow to Beijing (via Abu Dhabi 2 hour change) arriving 4 Oct and depart 7 Oct from Tianjin Port on a cruise to Fukuoko, Japan eventually flying home from Singapore. Not sure if we qualify as flight NOT NONSTOP!!!
If we qualify where would we obtain the arrival/departure card.
Tried Chinese Embassy and they said they have no information on 144 visa free transit!!