I have a situation where I need to have PuTTY (or another SSH client for Windows) automatically log into another machine via SSH. I realize that this isn't a good idea security-wise, but unfortunately I'm constrained by the limitations both on the client and the server.

The best solution would be to have a shortcut or script on the desktop that, when double clicked, will connect to the server and automatically log in. Can I do this with PuTTY?

I am willing to explore public key authentication, but I'm not sure where the PuTTY key resides or how to copy it to the server, as the app starts automatically upon login.