As Ronald Reagan alway said, "Well...."
I am looking at the base and link as one part since they don't have to come apart for storage. So you have the base with the link permanently attached, the lever, and the cylinder support pad.
In individual parts the count is 14, unless you count the link as two since it started as 1/2 inch flat stock and 1/4 inch round stock.
My reading of history convinces me that most bad government results from too much government. Thomas Jefferson