### Description

Introducing a startupProbe onto the airflow services would be useful for slow starting container and most of all it doesn't have side effects.

### Use case/motivation

We have an internal feature where we perform a copy of venv from airflow services to cloud storages which can sometimes take a few minutes. Copying of a venv is a metadata heavy load: https://learn.microsoft.com/en-us/troubleshoot/azure/azure-storage/files-troubleshoot-performance?tabs=linux#cause-2-metadata-or-namespace-heavy-workload.

Introducing a startupProbe onto the airflow services would be useful for slow starting container and most of all it doesn't have side effects.

### Related issues

_No response_

### Are you willing to submit a PR?

- [X] 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)

docs = render_chart(
            values={"airflowVersion": f"{airflow_version}"},
            show_only=["templates/scheduler/scheduler-deployment.yaml"],
        )
        assert (
            probe_command
            in jmespath.search("spec.template.spec.containers[0].livenessProbe.exec.command", docs[0])[-1]
        )
    @pytest.mark.parametrize(
        "log_persistence_values, expected_volume",
        [
            ({"enabled": False}, {"emptyDir": {}}),
            ({"enabled": True}, {"persistentVolumeClaim": {"claimName": "release-name-logs"}}),
            (
                {"enabled": True, "existingClaim": "test-claim"},
                {"persistentVolumeClaim": {"claimName": "test-claim"}},
            ),
        ],
    )
    def test_logs_persistence_changes_volume(self, log_persistence_values, expected_volume):
        docs = render_chart(
            values={"logs": {"persistence": log_persistence_values}},
            show_only=["templates/scheduler/scheduler-deployment.yaml"],
        )
        assert {"name": "logs", **expected_volume} in jmespath.search("spec.template.spec.volumes", docs[0])
    def test_scheduler_security_contexts_are_configurable(self):