Since the "button" broke off the barrel of the nipple, that shows too short of a spoke.
Think of the button as the nut that holds the bolt from the other side.
The barrel is just an assembly aid so you can get all the nipples started on the spokes before you start to add tension.
The end of the spoke should reach (or mighty close to) the screwdriver slot in the nipple.

Is that a replacement spoke that was too short?
It appears to possibly be a different color???
Looks like you have problems with more than 1 spoke?