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.rs

@@ -12,10 +12,6 @@ use crate::SandboxState;
 use crate::agent::AgentControl;
 use crate::agent::AgentStatus;
 use crate::agent::agent_status_from_event;
-use crate::analytics_client::AnalyticsEventsClient;
-use crate::analytics_client::AppInvocation;
-use crate::analytics_client::InvocationType;
-use crate::analytics_client::build_track_events_context;
 use crate::apps::render_apps_section;
 use crate::auth_env_telemetry::collect_auth_env_telemetry;
 use crate::commit_attribution::commit_message_trailer_instruction;
@@ -349,6 +345,10 @@ use crate::turn_timing::record_turn_ttft_metric;
 use crate::unified_exec::UnifiedExecProcessManager;
 use crate::util::backoff;
 use crate::windows_sandbox::WindowsSandboxLevelExt;
+use codex_analytics::AnalyticsEventsClient;
+use codex_analytics::AppInvocation;
+use codex_analytics::InvocationType;
+use codex_analytics::build_track_events_context;
 use codex_async_utils::OrCancelExt;
 use codex_git_utils::get_git_repo_root;
 use codex_otel::SessionTelemetry;
@@ -1844,8 +1844,9 @@ impl Session {
             shell_zsh_path: config.zsh_path.clone(),
             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,
             rollout: Mutex::new(rollout_recorder),