### 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={"webserver": {"command": command, "args": args}},
            show_only=["templates/webserver/webserver-deployment.yaml"],
        )
        assert command == jmespath.search("spec.template.spec.containers[0].command", docs[0])
        assert args == jmespath.search("spec.template.spec.containers[0].args", docs[0])
    def test_command_and_args_overrides_are_templated(self):
        docs = render_chart(
            values={"webserver": {"command": ["{{ .Release.Name }}"], "args": ["{{ .Release.Service }}"]}},
            show_only=["templates/webserver/webserver-deployment.yaml"],
        )
        assert ["release-name"] == jmespath.search("spec.template.spec.containers[0].command", docs[0])
        assert ["Helm"] == jmespath.search("spec.template.spec.containers[0].args", docs[0])
    @pytest.mark.parametrize(
        "airflow_version, dag_values",
        [
            ("1.10.15", {"gitSync": {"enabled": False}}),
            ("1.10.15", {"persistence": {"enabled": False}}),
            ("1.10.15", {"gitSync": {"enabled": False}, "persistence": {"enabled": False}}),
            ("2.0.0", {"gitSync": {"enabled": True}}),
            ("2.0.0", {"gitSync": {"enabled": False}}),
            ("2.0.0", {"persistence": {"enabled": True}}),
            ("2.0.0", {"persistence": {"enabled": False}}),
            ("2.0.0", {"gitSync": {"enabled": True}, "persistence": {"enabled": True}}),
        ],
    )
    def test_no_dags_mount_or_volume_or_gitsync_sidecar_expected(self, airflow_version, dag_values):