Mine wasn't quite like that. But it helped.
I cleaned it, and it was still bad.
In the end (5 dissasembalys later) I had to bend the brush contacts much further out.
Also the white wheel seems to only go in 1 way. It will work the other way but it will be hard to turn.
I don't have that sprocket.
mine looks like
|||__button__|||
|||__wheel___|||
_...connector.._<<<<<has the brushes on them
__clip ring____
___contacts__
hope this helps someone in the future.