Am I correct in understanding that this would qualify for a 72-hour visa-free transit

My wife and I will be traveling from the U.S. to Beijing, arriving on Nov. 2 at 7:55 PM. The next morning, Nov. 3, we will fly from Beijing at 7:35 AM to Shanghai, arriving at 9:55 a.m. and continue to Hong Kong on an 11:35 AM.

We will board a ship on Nov. 4, but that ship will not depart until Nov. 5 at 6:00 PM.

Am I correct in understanding that we can transit China in this manner, staying in hotels the nights of Nov. 2 and Nov. 3, and a night aboard ship on Nov. 4 without having to secure a visa?