Instructions to give to the check in desk MAN>CDG>CKG - CKG>DOH>MAN

I posted before that my itinerary was

MAN > CDG (Short layover) > CKG (144 hours)

Then, CKG > DOH (Short layover) > MAN.

When I go the check in desk for Manchester to Paris, should I say, ‘I am taking advantage of the 144 hour transit without visa in Chongqing’? The first flight is by Flybe and the next Hainan Airlines.

They use TIMATIC I know, but what instructions should I give them? I.e what to put in the destination are transit point.

I am a British citizen, with a valid passport and my flight does not stop again in China after departing Chongqing.