### 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)

"""Create and return an DockerHook (cached)."""
        tls_config = DockerHook.construct_tls_config(
            ca_cert=self.tls_ca_cert,
            client_cert=self.tls_client_cert,
            client_key=self.tls_client_key,
            assert_hostname=self.tls_hostname,
            ssl_version=self.tls_ssl_version,
        )
        return DockerHook(
            docker_conn_id=self.docker_conn_id,
            base_url=self.docker_url,
            version=self.api_version,
            tls=tls_config,
            timeout=self.timeout,
        )
    def get_hook(self) -> DockerHook: