**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
"/api/v1/dags/example_python_operator/dagRuns/TEST_DAG_RUN_ID/taskInstances"
                    f"?start_date_gte={DEFAULT_DATETIME_STR_1}&start_date_lte={DEFAULT_DATETIME_STR_2}"
                ),
                2,
            ),
            (
                "test start date filter with ~",
                [
                    {"start_date": DEFAULT_DATETIME_1},
                    {"start_date": DEFAULT_DATETIME_1 + dt.timedelta(days=1)},
                    {"start_date": DEFAULT_DATETIME_1 + dt.timedelta(days=2)},
                ],
                True,
                (
                    "/api/v1/dags/~/dagRuns/~/taskInstances?start_date_gte"
                    f"={DEFAULT_DATETIME_STR_1}&start_date_lte={DEFAULT_DATETIME_STR_2}"
                ),
                2,
            ),
            (
                "test end date filter",
                [
                    {"end_date": DEFAULT_DATETIME_1},
                    {"end_date": DEFAULT_DATETIME_1 + dt.timedelta(days=1)},
                    {"end_date": DEFAULT_DATETIME_1 + dt.timedelta(days=2)},
                ],
                True,
                (
                    "/api/v1/dags/example_python_operator/dagRuns/TEST_DAG_RUN_ID/taskInstances?"
                    f"end_date_gte={DEFAULT_DATETIME_STR_1}&end_date_lte={DEFAULT_DATETIME_STR_2}"