I'm in the process of planning my first AONE3 ticket and even though I've read all the background information I wanted to call on your expertise to see if this trip is possible within the rules:

WAW-LHR (BA)
LHR-JFK (BA)
JFK-SFO (AA)
SFO-HKG (CX)
HKG-DPS (CX)
DPS-HKG (CX)
HKG-LHR (BA)
LHR-TLV (BA)
TLV-LHR (BA)
LHR-WAW (BA)

I want to keep the ticket to 3 continents therefore my main concern is TLV regarded a part of Europe.

Is there a difference in buying the ticket from BA Poland or the AA RTW-desk? I noticed that Gaza made some comments about BA in an earlier post.