I'm flying CX from SFO - HKG (stopover for a few days) - AAA (final destination, stay for a week) - HKG (connection) - SFO. Now, due to changes in family members' travel plans, I want to book a separate one-way ticket from HKG (original stopover) - BBB (new stopover) - AAA on the outbound after the stop over, on either CX or another airline. Can I have the SIN - AAA segment removed on the outbound? My travel agent says the segment after the stopover can be deleted without penalty (or refund), and it won't trigger a 'no show' and CX won't cancel my return flight from AAA to SFO.

The fare rules states:
"TRANSFERS: FARE BREAK SURFACE SECTORS NOT PERMITTED AND EMBEDDED SURFACE SECTORS PERMITTED ON THE FARE COMPONENT."

So, can I have the travel agent delete the segment right after the stop over on the outbound, fly on a separate ticket to the original destination AAA, and then go board the return from the AAA without any issues? If yes, then should the segment be deleted before or after I fly the first segment to HKG, and does it make a difference?

Thanks!

PS. Please pardon the repost. I posted it on an old thread in a different forum it went unnoticed.