**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
),
            (
                "include sub dag",
                "example_subdag_operator.section-1",
                [
                    {"execution_date": DEFAULT_DATETIME_1, "state": State.FAILED},
                    {
                        "execution_date": DEFAULT_DATETIME_1 + dt.timedelta(days=1),
                        "state": State.FAILED,
                    },
                    {
                        "execution_date": DEFAULT_DATETIME_1 + dt.timedelta(days=2),
                        "state": State.FAILED,
                    },
                    {
                        "execution_date": DEFAULT_DATETIME_1 + dt.timedelta(days=3),
                        "state": State.FAILED,
                    },
                ],
                "example_subdag_operator",
                {
                    "dry_run": True,
                    "include_subdags": True,
                },
                4,
            ),
        ]
    )
    @provide_session
    def test_should_respond_200(