Meaning of Transit

Singapore passport Holder
Brought a return ticket with Hebei Airline depart 10th July & Return 22nd July ( < 15 days ) with family (from Singapore to Hangzhou )
On reaching Hangzhou , check out and stay in hotel overnight with Family. On my own , Next day 11th July check in again taking Air China to Austin & Return on 16th July (Business Trip) back to Hangzhou. Stay in Hangzhou for 7 days and rerun with family on 22nd back to Singapore.
This should not be considered as transits since I already check out when I first touch enter Hangzhou on 10th July.
Can anyone advise
Thank you