then i have one more suggestion to make good use of the wing.

get your borading pass out of HK (either in US or in the counter when you arrived at HKG in the morning). you need to have the boarding to access the wing.

when you arrive at HKG 6am in the morning, go to the transfer/transit area (where you have to show the outbound boarding pass to get thr' the security). go up 2 levels in the elevator to get into CX F lounge.
in the lounge ask for the cabana, take a good bath and try the buffet breaksfast, and explore the lounge a bit.

check in your lugguage at the F lounge conceige (you may want to repack and bring only your passport, ticket and boarding passes) before going down 2 level again via the same levator to exit immigration for your day in HK city