Hi, apologies if I've missed this elsewhere but I've tried to parse the rules a few times now. I'm trying to plan a DONE3 route which I think is valid but the oneworld.com tool barfs at due to "number of sectors". It is under 16 overall so I think this must be a Europe specific issue. The route is:

TFS-MAD-LHR-LAS-LAX-SFO-HKG-BKK-SIN-HKG-DXB-LHR-MAD-TFS

The only Europe sector I need to be an actual stopover is DXB - ie. the segment view is starting TFS-LAS and ending with HKG-DXB-TFS. Am I hitting a sector in home continent or similar ruling? If so is there any obvious way around this (I would strongly prefer BA on the longer flights) - would it help to be ex-MAD (or even ex-LHR but I'm assuming this would hit the taxes and ticket price...)

Many thanks for any advice.