144 hour transit visa question.

Good morning. We are travelling on Australian passports. We fly into Beijing international airport and stay 3 nights in Beijing CBD. We then transfer to Tianjn cruise port terminal to leave on a cruise. First stop is Okinawa which does not require a visa. We will not come back to Beijing but sail to Singapore then fly back to Australia from Singapore.
Do we qualify for the Free 144 hour transit? Thankyou.