144-hour Visa Free in Beijing

My wife and I are taking a cruise that departs out of Hong Kong on the afternoon of 9/11. We arrive in BJ at 5:10pm on 9/11 so the clock would start at 12:01AM on the 7th. We have hotel reservations for our stay in Beijing. We depart to Hong Kong on the morning of 9/11 and arrive around noon and get on the ship that afternoon. Do we qualify for the 144-hour Visa free visit?

I thank you in advance for your assistance.