**Description**

I have noticed that the stable REST API doesn't have the ability to run a task (which is possible from the airflow web interface.
I think it would be nice to have either:
- Run task 
- Run all failing tasks (rerun from point of failure)
this ability for integrations.

**Use case / motivation**

I would like the ability to identify the failing tasks on a specific DAG Run and rerun only them.
I would like to do it remotely (non-interactive) using the REST API.
I could write a script that run only the failing tasks, but I couldn't find a way to "Run" a task, when I have the task instance ID.

**Are you willing to submit a PR?**

Not at this stage

**Related Issues**



tests/api_connexion/endpoints/test_task_instance_endpoint.py
False,
                True,
                {
                    "execution_date_gte": DEFAULT_DATETIME_1,
                    "execution_date_lte": (DEFAULT_DATETIME_1 + dt.timedelta(days=2)),
                },
                3,
            ),
        ]
    )
    @provide_session
    def test_should_respond_200(
        self, _, task_instances, update_extras, single_dag_run, payload, expected_ti_count, session
    ):
        self.create_task_instances(
            session,
            update_extras=update_extras,
            task_instances=task_instances,
            single_dag_run=single_dag_run,
        )
        response = self.client.post(
            "/api/v1/dags/~/dagRuns/~/taskInstances/list",
            environ_overrides={"REMOTE_USER": "test"},
            json=payload,
        )
        assert response.status_code == 200, response.json
        assert expected_ti_count == response.json["total_entries"]
        assert expected_ti_count == len(response.json["task_instances"])
    @parameterized.expand(
        [