Cool
So I understood correctly even if I didn't write it very well
So briefly
1) No engine out i.e. straight ahead….can select TOGA…AP available above 200ft
2) Engine out with emergency turn above 400ft AGL…can select TOGA since HDG/TRK will be available again after 400ft... AP available above 200ft
3) Engine out with emergency turn below 400ft AGL….Don't select TOGA just advance thrust if needed and use HDG/TRK as required….AP available if the SID LNAV turn is AFTER the emergency turn point, since you can use HDG/TRK. If SID LNAV turn is BEFORE the emergency turn and still all below 400ft AP not available until HDG/TRK selected since it will follow the SID LNAV turn.
Think that makes sense?!?!?
….and that was brief!