docs: update deprecated .schema() to .model_json_schema() in tool_run… (#31615)
This PR updates the tool runtime example notebook to replace the
deprecated `.schema()` method with `.model_json_schema()`, aligning it
with Pydantic V2.
### 🔧 Changes:
- Replaced:
```python
update_favorite_pets.get_input_schema().schema()
with
update_favorite_pets.get_input_schema().model_json_schema()
```
Fixes #31609