### 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(show_only=["templates/webserver/webserver-deployment.yaml"])
        assert {"component": "webserver"} == jmespath.search(
            "spec.template.spec.affinity.podAntiAffinity."
            "preferredDuringSchedulingIgnoredDuringExecution[0]."
            "podAffinityTerm.labelSelector.matchLabels",
            docs[0],
        )
    def test_affinity_tolerations_topology_spread_constraints_and_node_selector_precedence(self):
        """When given both global and webserver affinity etc, webserver affinity etc is used."""
        expected_affinity = {
            "nodeAffinity": {
                "requiredDuringSchedulingIgnoredDuringExecution": {
                    "nodeSelectorTerms": [
                        {
                            "matchExpressions": [
                                {"key": "foo", "operator": "In", "values": ["true"]},
                            ]
                        }
                    ]
                }
            }
        }
        expected_topology_spread_constraints = {
            "maxSkew": 1,
            "topologyKey": "foo",
            "whenUnsatisfiable": "ScheduleAnyway",
            "labelSelector": {"matchLabels": {"tier": "airflow"}},