An update, after taking my car in for service yesterday (Friday)...
First of all, the Sunnyvale service center is great; everyone was extremely courteous, attentive and friendly. The service tech I drove with heard the clicking and seemed to be surprised by it, saying that he would find it annoying as well. The service advisor appeared to know exactly what was causing the issue.
As had been previously mentioned in
other threads, there is a service bulletin regarding the electromechanical brake booster, and my September-delivery P85 was affected. They performed the replacement (iBooster - Model S (1037123-00-A)), but the same ticking sound is still present every 4 seconds above 25 mph.
The service advisor confirmed that he checked with Engineering, and the ticking sound is due to the operation of a valve in the brake booster. Unfortunately, as stated on the service invoice, "This is the normal operation of the electromechanical brake booster as it is actively performing internal checks." I didn't even get told about a
possible firmware fix. It seems like they were taking great care to avoid calling this issue a problem or design flaw.
When I'm driving, the car is otherwise so amazingly silent that this periodic "click... click... click" is like hearing a dripping faucet or fingernails on a chalkboard. I'm dealing with it by always having music playing in the car to mask the clicks. It's disappointing that I need to do that, though.
To others having the same issue, I'd encourage you to make a service center appointment and have it checked out. Even if the problem doesn't get rectified immediately, having many owners bringing in their cars can show Tesla that there is an issue here to be fixed.