The server monitors BROWSE_PARENT_PID and self-terminates when the
parent exits. For pair-agent, the connect subprocess is the parent,
so the server dies 15s after connect finishes. Disable parent-PID
monitoring for pair-agent sessions so the server outlives the CLI.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>