[Failing Test]: PreCommit Python Integration Failing on Unrelated Changes

### What happened?

https://github.com/apache/beam/actions/workflows/beam_PreCommit_Python_Integration.yml has been failing on unrelated changes. Likely an issue that is ongoing with other GHA and will require a fix such as https://github.com/apache/beam/pull/27763

### Issue Failure

Failure: Test is flaky

### Issue Priority

Priority: 2 (backlog / disabled test but we think the product is healthy)

### Issue Components

- [ ] Component: Python SDK
- [ ] Component: Java SDK
- [ ] Component: Go SDK
- [ ] Component: Typescript SDK
- [ ] Component: IO connector
- [ ] Component: Beam examples
- [ ] Component: Beam playground
- [ ] Component: Beam katas
- [ ] Component: Website
- [ ] Component: Spark Runner
- [ ] Component: Flink Runner
- [ ] Component: Samza Runner
- [ ] Component: Twister2 Runner
- [ ] Component: Hazelcast Jet Runner
- [ ] Component: Google Cloud Dataflow Runner