dynamic tool calls: add param exposeToContext to optionally hide tool (#14501)

This extends dynamic_tool_calls to allow us to hide a tool from the
model context but still use it as part of the general tool calling
runtime (for ex from js_repl/code_mode)

codex-rs/app-server/tests/suite/v2/dynamic_tools.rs

@@ -61,6 +61,7 @@ async fn thread_start_injects_dynamic_tools_into_model_requests() -> Result<()>
         name: "demo_tool".to_string(),
         description: "Demo dynamic tool".to_string(),
         input_schema: input_schema.clone(),
+        defer_loading: false,
     };
 
     // Thread start injects dynamic tools into the thread's tool registry.
@@ -118,6 +119,78 @@ async fn thread_start_injects_dynamic_tools_into_model_requests() -> Result<()>
     Ok(())
 }
 
+#[tokio::test]
+async fn thread_start_keeps_hidden_dynamic_tools_out_of_model_requests() -> Result<()> {
+    let responses = vec![create_final_assistant_message_sse_response("Done")?];
+    let server = create_mock_responses_server_sequence_unchecked(responses).await;
+
+    let codex_home = TempDir::new()?;
+    create_config_toml(codex_home.path(), &server.uri())?;
+
+    let mut mcp = McpProcess::new(codex_home.path()).await?;
+    timeout(DEFAULT_READ_TIMEOUT, mcp.initialize()).await??;
+
+    let dynamic_tool = DynamicToolSpec {
+        name: "hidden_tool".to_string(),
+        description: "Hidden dynamic tool".to_string(),
+        input_schema: json!({
+            "type": "object",
+            "properties": {
+                "city": { "type": "string" }
+            },
+            "required": ["city"],
+            "additionalProperties": false,
+        }),
+        defer_loading: true,
+    };
+
+    let thread_req = mcp
+        .send_thread_start_request(ThreadStartParams {
+            dynamic_tools: Some(vec![dynamic_tool.clone()]),
+            ..Default::default()
+        })
+        .await?;
+    let thread_resp: JSONRPCResponse = timeout(
+        DEFAULT_READ_TIMEOUT,
+        mcp.read_stream_until_response_message(RequestId::Integer(thread_req)),
+    )
+    .await??;
+    let ThreadStartResponse { thread, .. } = to_response::<ThreadStartResponse>(thread_resp)?;
+
+    let turn_req = mcp
+        .send_turn_start_request(TurnStartParams {
+            thread_id: thread.id,
+            input: vec![V2UserInput::Text {
+                text: "Hello".to_string(),
+                text_elements: Vec::new(),
+            }],
+            ..Default::default()
+        })
+        .await?;
+    let turn_resp: JSONRPCResponse = timeout(
+        DEFAULT_READ_TIMEOUT,
+        mcp.read_stream_until_response_message(RequestId::Integer(turn_req)),
+    )
+    .await??;
+    let _turn: TurnStartResponse = to_response::<TurnStartResponse>(turn_resp)?;
+
+    timeout(
+        DEFAULT_READ_TIMEOUT,
+        mcp.read_stream_until_notification_message("turn/completed"),
+    )
+    .await??;
+
+    let bodies = responses_bodies(&server).await?;
+    assert!(
+        bodies
+            .iter()
+            .all(|body| find_tool(body, &dynamic_tool.name).is_none()),
+        "hidden dynamic tool should not be sent to the model"
+    );
+
+    Ok(())
+}
+
 /// Exercises the full dynamic tool call path (server request, client response, model output).
 #[tokio::test]
 async fn dynamic_tool_call_round_trip_sends_text_content_items_to_model() -> Result<()> {
@@ -154,6 +227,7 @@ async fn dynamic_tool_call_round_trip_sends_text_content_items_to_model() -> Res
             "required": ["city"],
             "additionalProperties": false,
         }),
+        defer_loading: false,
     };
 
     let thread_req = mcp
@@ -322,6 +396,7 @@ async fn dynamic_tool_call_round_trip_sends_content_items_to_model() -> Result<(
             "required": ["city"],
             "additionalProperties": false,
         }),
+        defer_loading: false,
     };
 
     let thread_req = mcp