The machine gets a tailcat address of its own, kept in this browser. With it another computer runs tailcat ssh <address> to log in to the guest's sshd, or tailcat <address> <port> for any port the guest listens on.
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Your own derper's host or host:port: faster than tailcat's public relays, which are rate-limited. Used when the machine doesn't go online through a computer of yours (that computer's relay serves then).
Forgets the machine's address: whoever has it can't come in any more.