I installed the thrust washer, Ford part BB5Z-7G273-B, on my right side and the clicking is gone.
In order to disconnect the strut from the knuckle without removing the knuckle, I took a second floor jack and a 4x4 piece of wood cut about 20" long, and jacked up under the spring perch on the strut to compress the spring and shorten the strut. The job took about 20 minutes using air tools.
The part was $2.60 at my local Ford dealer parts department, which is open on Saturdays.