Requires AutoHotkey v2. Install it, double-click the script, and you are all set.
Just time it correctly and press F5 instead of one of your next mouse clicks — this will automatically click every 650 ms (the time that I have figured out experimentally).
After you finish, press F5 again to disable the script.
Sometimes doesn't work from the first try: one time it failed for me after 69 successful kicks. Give it another try then, and eventually you will prevail.
Licensed under MIT, copyright 2015 Friedrich von Never.