Extract codex-analytics crate (#15748)

## Summary
- move the analytics events client into codex-analytics
- update codex-core and app-server callsites to use the new crate

## Testing
- CI

---------

Co-authored-by: Codex <noreply@openai.com>

codex-rs/core/src/codex_tests.rs

@@ -2668,8 +2668,9 @@ pub(crate) async fn make_session_and_context() -> (Session, TurnContext) {
         shell_zsh_path: None,
         main_execve_wrapper_exe: config.main_execve_wrapper_exe.clone(),
         analytics_events_client: AnalyticsEventsClient::new(
-            Arc::clone(&config),
             Arc::clone(&auth_manager),
+            config.chatgpt_base_url.trim_end_matches('/').to_string(),
+            config.analytics_enabled,
         ),
         hooks: Hooks::new(HooksConfig {
             legacy_notify_argv: config.notify.clone(),
@@ -3503,8 +3504,9 @@ pub(crate) async fn make_session_and_context_with_dynamic_tools_and_rx(
         shell_zsh_path: None,
         main_execve_wrapper_exe: config.main_execve_wrapper_exe.clone(),
         analytics_events_client: AnalyticsEventsClient::new(
-            Arc::clone(&config),
             Arc::clone(&auth_manager),
+            config.chatgpt_base_url.trim_end_matches('/').to_string(),
+            config.analytics_enabled,
         ),
         hooks: Hooks::new(HooksConfig {
             legacy_notify_argv: config.notify.clone(),