Add root turn IDs to turn and tool analytics (#40486)

## Why

Analytics need to associate subagent activity with the top-level turn that
caused it, while avoiding a stale association when steering makes that origin
ambiguous.

## What changed

- Add `root_turn_id` to turn and tool-item analytics events.
- Read the root from live turn metadata when each event is built, reporting
  `null` when the root is unknown or ambiguous.
- Propagate the metadata through control-tool and code-mode completion facts so
  correlated and background tool events retain the correct root.

## Testing

- Cover root IDs for top-level turns, subagent turns, correlated code-mode
  calls, and tool events emitted after turn completion.
- Verify that queued and subsequent events report `null` after the live root is
  invalidated.

GitOrigin-RevId: 42fd76541c3c716cec74787d47b50adb2d22e6d2

codex-rs/core/src/tools/code_mode/execute_handler.rs

@@ -168,6 +168,7 @@ impl CodeModeExecuteHandler {
             session.services.analytics_events_client.clone(),
             session.thread_id.to_string(),
             turn.sub_id.clone(),
+            turn.turn_metadata_state.clone(),
             call_id.clone(),
             PUBLIC_TOOL_NAME,
         );

codex-rs/core/src/tools/code_mode/telemetry.rs

@@ -1,11 +1,14 @@
 use codex_analytics::AnalyticsEventsClient;
 use codex_analytics::CodeModeToolCallFact;
 use codex_analytics::CodeModeToolCallStatus;
+use codex_analytics::TurnAnalyticsMetadata;
+use std::sync::Arc;
 
 pub(super) struct CodeModeToolCallGuard {
     analytics: AnalyticsEventsClient,
     thread_id: String,
     turn_id: String,
+    turn_metadata: Arc<dyn TurnAnalyticsMetadata>,
     call_id: String,
     pub(super) cell_id: Option<String>,
     tool_name: &'static str,
@@ -18,6 +21,7 @@ impl CodeModeToolCallGuard {
         analytics: AnalyticsEventsClient,
         thread_id: String,
         turn_id: String,
+        turn_metadata: Arc<dyn TurnAnalyticsMetadata>,
         call_id: String,
         tool_name: &'static str,
     ) -> Self {
@@ -25,6 +29,7 @@ impl CodeModeToolCallGuard {
             analytics,
             thread_id,
             turn_id,
+            turn_metadata,
             call_id,
             cell_id: None,
             tool_name,
@@ -48,6 +53,7 @@ impl Drop for CodeModeToolCallGuard {
             .track_code_mode_tool_call(CodeModeToolCallFact::Completed {
                 thread_id: self.thread_id.clone(),
                 turn_id: self.turn_id.clone(),
+                turn_metadata: self.turn_metadata.clone(),
                 call_id: self.call_id.clone(),
                 cell_id: self.cell_id.clone(),
                 tool_name: self.tool_name.to_string(),

codex-rs/core/src/tools/code_mode/wait_handler.rs

@@ -77,6 +77,7 @@ impl CodeModeWaitHandler {
             session.services.analytics_events_client.clone(),
             session.thread_id.to_string(),
             turn.sub_id.clone(),
+            turn.turn_metadata_state.clone(),
             call_id.clone(),
             WAIT_TOOL_NAME,
         );