### Apache Airflow version

Other Airflow 2 version (please specify below)

### What happened

Airflow 2.3.3

Raising the `AirflowSkipException` in the source code, using the `DockerOperator`, is supposed to mark the task as skipped, according to the [docs](https://airflow.apache.org/docs/apache-airflow/stable/concepts/tasks.html#special-exceptions). However, what happens is that the task is marked as failed with the logs showing `ERROR - Task failed with exception`.

### What you think should happen instead

Tasks should be marked as skipped, not failed.

### How to reproduce

Raise the `AirflowSkipException` in the python source code, while using the `DockerOperator`.

### Operating System

Ubuntu 20.04.5 LTS (GNU/Linux 5.4.0-125-generic x86_64)

### Versions of Apache Airflow Providers

_No response_

### Deployment

Docker-Compose

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [ ] 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)

}
    op = DockerOperator(
        task_id="test_hook_usage_without_tls",
        api_version=TEST_API_VERSION,
        docker_conn_id=docker_conn_id,
        image=TEST_IMAGE,
        docker_url=TEST_DOCKER_URL,
        timeout=42,
        **tls_params,
    )
    hook = op.hook
    assert hook is op.get_hook()
    docker_hook_patcher.assert_called_once_with(
        docker_conn_id=docker_conn_id,
        base_url=TEST_DOCKER_URL,
        version=TEST_API_VERSION,
        tls="MOCK-TLS-VALUE",
        timeout=42,
    )
    docker_hook_patcher.construct_tls_config.assert_called_once_with(**expected_tls_call_args)
    
    assert op.cli is hook.api_client
@pytest.mark.parametrize(
    "env_str, expected",
    [
        pytest.param("FOO=BAR\nSPAM=EGG", {"FOO": "BAR", "SPAM": "EGG"}, id="parsable-string"),
        pytest.param("", {}, id="empty-string"),
    ],
)
def test_unpack_environment_variables(env_str, expected):