hold the phone - yes, you're right, it's 4 track miles not 6. Maths never was my strong point.
But 4 miles will still give you a fair amount of height to play with at 3DME.
I think idg has summarised what I was trying to say much more clearly than I did. Your operator should provide you with an Engine Out escape route (for EFATO and go-around situations) at any destination that is dicey and if you are making an engine-out approach then you should plan to fly the EO G/A rather than the normal one. If your operator doesn't provide such things, then it would behoove you to think about it yourself and come up with your plan "just in case". In either event, make sure ATC knows that you'll be flying a non-standard G/A.
As for what to do if the engine fails just as you're turning at 3 miles- again, I think idg has hit the nail on the head - yell for radar vectors (and keep the climb going). ATC at HKG is pretty good at that sort of thing.
Happy New Year to all.
t