[codex-analytics] feature plumbing and emittance (#16640)

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[//]: # (BEGIN SAPLING FOOTER)
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with [ReviewStack](https://reviewstack.dev/openai/codex/pull/16640).
* #16870
* #16706
* #16641
* __->__ #16640

codex-rs/core/src/codex_delegate.rs

@@ -78,7 +78,6 @@ pub(crate) async fn run_codex_thread_interactive(
     let CodexSpawnOk { codex, .. } = Codex::spawn(CodexSpawnArgs {
         config,
         auth_manager,
-        analytics_events_client: Some(parent_session.services.analytics_events_client.clone()),
         models_manager,
         environment_manager: Arc::new(EnvironmentManager::from_environment(
             parent_ctx.environment.as_deref(),
@@ -97,6 +96,7 @@ pub(crate) async fn run_codex_thread_interactive(
         user_shell_override: None,
         inherited_exec_policy: Some(Arc::clone(&parent_session.services.exec_policy)),
         parent_trace: None,
+        analytics_events_client: Some(parent_session.services.analytics_events_client.clone()),
     })
     .await?;
     if parent_session.enabled(codex_features::Feature::GeneralAnalytics) {