Thanks for your responses. As suggested by several members, placing a small piece of tubing over the bent wire does delay the music until after the cuckoo whistles. This overcomes a problem caused by wear on the fan edges as also suggested.
For completeness in describing the music box action another photo is attached of the spring at the whip end of the music box lever. The free end of the spring (circled in red) is shown in contact with the fan at the end of the music cycle. Since a search of the NAWCC web site did not reveal a description for the Baduf music box action, the sequence of events to start and stop the music box are listed as best I can.
The cuckoo perch is moved on the hour and half hour at about the same time the bellows activate.
The perch moves and holds the music box whip/lever.
The lever rotation causes a) the tang to move out of the hole in the end of the pin drum, b) the spring at the whip end of the lever to disengage from the fan, permitting the drum to rotate, and c) the bent wire with plastic insulation to engage the fan before the pins on the rotating drum tickle the comb.
After the whistle completes, the perch moves back to its initial position, releasing the lever. The lever motion causes a) the tang to rest on the drum end, b) the spring at the whip end of the lever to move toward the fan but not engage it, and c) the bent wire to release the fan, permitting the pin drum to play the melody.
[FONT=&]After the last note sounds, the tang falls into the leading edge of the drum hole, allowing the lever to rotate further and bring the spring at the whip end into intermittent contact with the fan which slows it down to prevent excessive force on the tang before it engages the following edge of the drum hole to stop drum rotation.[/FONT]