[CI Failure] Flaky: VS Code extension E2E (Linux, tree-actions) shard fails with generic exit code 1, unrelated to PR changes

## Build Information

Build: https://github.com/microsoft/aspire/actions/runs/34572553361
Build error leg or test failing: Tests / Run VS Code extension E2E tests / VS Code extension E2E (Linux, tree-actions) / `VS Code extension E2E (Linux, tree-actions)`
Pull request: #20004

## Error Message

```
Process completed with exit code 1. (Run extension E2E tests step failed; job logs unavailable: 'Failed to fetch logs for job'). No TRX test failures extracted. Occurs on 'VS Code extension E2E (Linux, tree-actions)' shard on PRs unrelated to VS Code extension code.
```

## Description

Flaky: VS Code extension E2E (Linux, tree-actions) shard fails with generic exit code 1, unrelated to PR changes

**Type**: flaky-test

## Occurrences

| Date | Build | Job | PR |
|------|-------|-----|----|
| 2026-09-11 | [34572553361](https://github.com/microsoft/aspire/actions/runs/34572553361) | Tests / Run VS Code extension E2E tests / VS Code extension E2E (Linux, tree-actions) | #20004 |

Start with build 34572553361 and the Tests / Run VS Code extension E2E tests / VS Code extension E2E (Linux, tree-actions) job, reproducing the failing shard if possible. Investigate why the Run extension E2E tests step exits with code 1 when no TRX failures or job logs are available; done means the shard no longer flakes on unrelated pull requests and its failures provide actionable diagnostics.

Written by the indexing model from the issue text.