Probably not
Well, for a start you have not specified the aircraft type. Certainly for a 737 the minimum speed at which you
should use more that 15 deg bank is V2+15, regardless of flap setting. Presumably V2+12 is the speed at failure? In which case you either maintain it at 15 deg bank or increase
IF POSSIBLE to V2+15. Your EOSID should either cope with all speeds up to +25 or specify your actions.