### Apache Airflow version

main (development)

### What happened

Currently `extra_links` is a cached property that returns a list without any order since set is used. Since we have 3 links per operator this order gets shuffled during webserver restarts as reported by users. It would be good to have this sorted so that the order is predictable. This is already done in extra_links Airflow API output

https://github.com/apache/airflow/blob/d7899ecfafb20cc58f8fb43e287d1c6778b8fa9f/airflow/models/abstractoperator.py#L470-L472

https://github.com/apache/airflow/blob/d7899ecfafb20cc58f8fb43e287d1c6778b8fa9f/airflow/api_connexion/endpoints/extra_link_endpoint.py#L75-L78

### What you think should happen instead

extra link order should be predictable

### How to reproduce

1. Create an operator with 3 or more extra links.
2. Render the links in UI. 
3. Restart the webserver and check the extra link order.

### Operating System

Ubuntu

### Versions of Apache Airflow Providers

_No response_

### Deployment

Other

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [X] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

"""Verify serialization fails without timetable registration."""
        dag = get_timetable_based_simple_dag(CustomSerializationTimetable("bar"))
        with pytest.raises(SerializationError) as ctx:
            SerializedDAG.to_dict(dag)
        message = (
            "Failed to serialize DAG 'simple_dag': Timetable class "
            "'tests.test_utils.timetables.CustomSerializationTimetable' "
            "is not registered or "
            "you have a top level database access that disrupted the session. "
            "Please check the airflow best practices documentation."
        )
        assert str(ctx.value) == message
    def validate_serialized_dag(self, json_dag, ground_truth_dag):
        """Verify serialized DAGs match the ground truth."""
        assert json_dag["dag"]["fileloc"].split("/")[-1] == "test_dag_serialization.py"
        json_dag["dag"]["fileloc"] = None
        def sorted_serialized_dag(dag_dict: dict):
            """
            Sorts the "tasks" list and "access_control" permissions in the
            serialised dag python dictionary. This is needed as the order of
            items should not matter but assertEqual would fail if the order of
            items changes in the dag dictionary
            """
            dag_dict["dag"]["tasks"] = sorted(dag_dict["dag"]["tasks"], key=lambda x: sorted(x.keys()))
            dag_dict["dag"]["_access_control"]["__var"]["test_role"]["__var"] = sorted(
                dag_dict["dag"]["_access_control"]["__var"]["test_role"]["__var"]
            )
            return dag_dict
        assert sorted_serialized_dag(ground_truth_dag) == sorted_serialized_dag(json_dag)
    def test_deserialization_across_process(self):