I'm trying to book a DONE3 ticket starting inTPE. I will make two stop-overs in HKG at the begining and end of the trip. In the middle i'm planning to book JFK-HKG-DPS with CX. The travel agent is saying that i can only book CX889 arriving at 7.30am connecting to CX785 departing at 10.05am. (stop-over less than 4 hrs.)
I was trying to book CX831 from JFK and arrive in HK at 7.55pm the night before, before connecting the following morning to CX785 at 10.05am. (stopover less than 24hrs)
Travel agent is saying that you need to take the most direct connection. I thought that as long as you don't stay longer than 24 hrs you will be ok as this is not considered a stop-over?

Can someone let me know their experience?
thanks