## Why
Remote control starts by letting `codex-backend` initialize against the
app-server as an infrastructure health/proxy client before the real
remote client connects. App-server initialization also sets the
process-wide `originator` from `client_info.name`, so `codex-backend`
could become the sticky originator for later model/API requests even
after the real client initialized.
## What changed
- Treat `codex-backend` as a non-originating initialize client,
alongside the existing `codex_app_server_daemon` probe client.
- Preserve normal per-connection initialize behavior, including session
metadata and initialize analytics.
- Add regression coverage that verifies `codex-backend` initialize does
not replace the default originator.
## Testing
- `cargo test -p codex-app-server --test all
initialize_codex_backend_does_not_override_originator`
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