Feat: request user input tool (#9472)

### Summary
* Add `requestUserInput` tool that the model can use for gather
feedback/asking question mid turn.


### Tool input schema
```
{
  "$schema": "http://json-schema.org/draft-07/schema#",
  "title": "requestUserInput input",
  "type": "object",
  "additionalProperties": false,
  "required": ["questions"],
  "properties": {
    "questions": {
      "type": "array",
      "description": "Questions to show the user (1-3). Prefer 1 unless multiple independent decisions block progress.",
      "minItems": 1,
      "maxItems": 3,
      "items": {
        "type": "object",
        "additionalProperties": false,
        "required": ["id", "header", "question"],
        "properties": {
          "id": {
            "type": "string",
            "description": "Stable identifier for mapping answers (snake_case)."
          },
          "header": {
            "type": "string",
            "description": "Short header label shown in the UI (12 or fewer chars)."
          },
          "question": {
            "type": "string",
            "description": "Single-sentence prompt shown to the user."
          },
          "options": {
            "type": "array",
            "description": "Optional 2-3 mutually exclusive choices. Put the recommended option first and suffix its label with \"(Recommended)\". Only include \"Other\" option if we want to include a free form option. If the question is free form in nature, do not include any option.",
            "minItems": 2,
            "maxItems": 3,
            "items": {
              "type": "object",
              "additionalProperties": false,
              "required": ["value", "label", "description"],
              "properties": {
                "value": {
                  "type": "string",
                  "description": "Machine-readable value (snake_case)."
                },
                "label": {
                  "type": "string",
                  "description": "User-facing label (1-5 words)."
                },
                "description": {
                  "type": "string",
                  "description": "One short sentence explaining impact/tradeoff if selected."
                }
              }
            }
          }
        }
      }
    }
  }
}
```

### Tool output schema
```
{
  "$schema": "http://json-schema.org/draft-07/schema#",
  "title": "requestUserInput output",
  "type": "object",
  "additionalProperties": false,
  "required": ["answers"],
  "properties": {
    "answers": {
      "type": "object",
      "description": "Map of question id to user answer.",
      "additionalProperties": {
        "type": "object",
        "additionalProperties": false,
        "required": ["selected"],
        "properties": {
          "selected": {
            "type": "array",
            "items": { "type": "string" }
          },
          "other": {
            "type": ["string", "null"]
          }
        }
      }
    }
  }
}
```

codex-rs/app-server/tests/common/responses.rs

@@ -60,3 +60,26 @@ pub fn create_exec_command_sse_response(call_id: &str) -> anyhow::Result<String>
         responses::ev_completed("resp-1"),
     ]))
 }
+
+pub fn create_request_user_input_sse_response(call_id: &str) -> anyhow::Result<String> {
+    let tool_call_arguments = serde_json::to_string(&json!({
+        "questions": [{
+            "id": "confirm_path",
+            "header": "Confirm",
+            "question": "Proceed with the plan?",
+            "options": [{
+                "label": "Yes (Recommended)",
+                "description": "Continue the current plan."
+            }, {
+                "label": "No",
+                "description": "Stop and revisit the approach."
+            }]
+        }]
+    }))?;
+
+    Ok(responses::sse(vec![
+        responses::ev_response_created("resp-1"),
+        responses::ev_function_call(call_id, "request_user_input", &tool_call_arguments),
+        responses::ev_completed("resp-1"),
+    ]))
+}