[release/13.4] Fix TypeScript deadlock repro E2E test

[aspire-repo-bot]

Backport of #17701 to release/13.4

/cc @JamesNK

Customer Impact

Testing

Risk

Regression?

[Copilot]

Copilot encountered an error and was unable to review this pull request. You can try again by re-requesting a review.

[github-actions]

🚀 Dogfood this PR with:

⚠️ WARNING: Do not do this without first carefully reviewing the code of this PR to satisfy yourself it is safe.

curl -fsSL https://raw.githubusercontent.com/microsoft/aspire/main/eng/scripts/get-aspire-cli-pr.sh | bash -s -- 17703

Or

• Run remotely in PowerShell:

iex "& { $(irm https://raw.githubusercontent.com/microsoft/aspire/main/eng/scripts/get-aspire-cli-pr.ps1) } 17703"

[aspire-repo-bot]

✅ No documentation update needed.

docs_optional → test_only. No signals triggered (signal_count = 0). The advisory only_test_or_build_changes flag is true — the single changed file is a TypeScript E2E test fix (deadlock repro) with no user-facing behavior, public API, CLI surface, or documentation impact.