### 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={"dags": {"gitSync": {"enabled": True}}, "airflowVersion": "1.10.15"},
            show_only=["templates/webserver/webserver-deployment.yaml"],
        )
        assert {"name": "dags", "emptyDir": {}} in jmespath.search("spec.template.spec.volumes", docs[0])
        assert "git-sync" in [c["name"] for c in jmespath.search("spec.template.spec.containers", docs[0])]
        assert "git-sync-init" in [
            c["name"] for c in jmespath.search("spec.template.spec.initContainers", docs[0])
        ]
    @pytest.mark.parametrize(
        "dags_values, expected_claim_name",
        [
            ({"persistence": {"enabled": True}}, "release-name-dags"),
            ({"persistence": {"enabled": True, "existingClaim": "test-claim"}}, "test-claim"),
            ({"persistence": {"enabled": True}, "gitSync": {"enabled": True}}, "release-name-dags"),
        ],
    )
    def test_dags_persistence_volume_no_sidecar(self, dags_values, expected_claim_name):
        docs = render_chart(
            values={"dags": dags_values, "airflowVersion": "1.10.15"},
            show_only=["templates/webserver/webserver-deployment.yaml"],
        )
        assert {
            "name": "dags",
            "persistentVolumeClaim": {"claimName": expected_claim_name},
        } in jmespath.search("spec.template.spec.volumes", docs[0])
        
        assert 1 == len(jmespath.search("spec.template.spec.containers", docs[0]))
        assert 1 == len(jmespath.search("spec.template.spec.initContainers", docs[0]))
    def test_should_add_component_specific_annotations(self):