The Goal

1. Add Secondary Rotation Bone

- Clear all location and rotation transform ⬆️

- Extrude on the Y axis ⬆️

- Change the bone name ⬆️

- Shift select the head rotation control then head secondary rotation bone as the last ⬆️

- Keep offset ⬆️
2. Reset the Location Constraint

- Select the bone and delete the constraint ⬆️

- Select the bone to add constraint ⬆️

- Add the copy location constraint ⬆️

- Set the target and the bone ⬆️

- TaDa!!! ⬆️