Move changing turn input functionalities to ConversationHistory (#5473)

We are doing some ad-hoc logic while dealing with conversation history.
Ideally, we shouldn't mutate `vec[responseitem]` manually at all and
should depend on `ConversationHistory` for those changes.

Those changes are:
- Adding input to the history
- Removing items from the history
- Correcting history

I am also adding some `error` logs for cases we shouldn't ideally face.
For example, we shouldn't be missing `toolcalls` or `outputs`. We
shouldn't hit `ContextWindowExceeded` while performing `compact`

This refactor will give us granular control over our context management.

codex-rs/core/tests/suite/tools.rs

@@ -227,62 +227,6 @@ async fn shell_escalated_permissions_rejected_then_ok() -> Result<()> {
     Ok(())
 }
 
-#[tokio::test(flavor = "multi_thread", worker_threads = 2)]
-async fn local_shell_missing_ids_maps_to_function_output_error() -> Result<()> {
-    skip_if_no_network!(Ok(()));
-
-    let server = start_mock_server().await;
-    let mut builder = test_codex();
-    let test = builder.build(&server).await?;
-
-    let local_shell_event = json!({
-        "type": "response.output_item.done",
-        "item": {
-            "type": "local_shell_call",
-            "status": "completed",
-            "action": {
-                "type": "exec",
-                "command": ["/bin/echo", "hi"],
-            }
-        }
-    });
-
-    mount_sse_once(
-        &server,
-        sse(vec![
-            ev_response_created("resp-1"),
-            local_shell_event,
-            ev_completed("resp-1"),
-        ]),
-    )
-    .await;
-    let second_mock = mount_sse_once(
-        &server,
-        sse(vec![
-            ev_assistant_message("msg-1", "done"),
-            ev_completed("resp-2"),
-        ]),
-    )
-    .await;
-
-    submit_turn(
-        &test,
-        "check shell output",
-        AskForApproval::Never,
-        SandboxPolicy::DangerFullAccess,
-    )
-    .await?;
-
-    let item = second_mock.single_request().function_call_output("");
-    assert_eq!(item.get("call_id").and_then(Value::as_str), Some(""));
-    assert_eq!(
-        item.get("output").and_then(Value::as_str),
-        Some("LocalShellCall without call_id or id"),
-    );
-
-    Ok(())
-}
-
 async fn collect_tools(use_unified_exec: bool) -> Result<Vec<String>> {
     let server = start_mock_server().await;