fix: retries in health_checks are not effective

[iankhou]

Problem

E2E tests are flaky due to unreliable network. Some retries that are implemented are not effective.

Recent intermittent E2E test failures:

• e2e_notices
• e2e_deployment
• e2e_sandbox

Changes

Removed ineffective retries. Added retry for E2E Notices tests that have recently failed on ephemeral reasons.

Did not implement for deployment and sandbox tests, which require additional refactoring to retry (because they are implemented as GitHub Actions themselves, not scripts that can be retried).

Validation

Workflows running on this PR, with label run-e2e.

Checklist

• If this PR includes a functional change to the runtime behavior of the code, I have added or updated automated test coverage for this change.
• If this PR requires a change to the Project Architecture README, I have included that update in this PR.
• If this PR requires a docs update, I have linked to that docs PR above.
• If this PR modifies E2E tests, makes changes to resource provisioning, or makes SDK calls, I have run the PR checks with the run-e2e label set.

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.

[changeset-bot]

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[Copilot]

Pull Request Overview

This PR fixes ineffective retry mechanisms in E2E health check workflows by removing non-functional retry steps and implementing a working retry for notices tests. The changes address flaky E2E test failures caused by unreliable network conditions.

• Removed ineffective retry steps that weren't actually retrying the test execution
• Added functional retry logic to E2E notices tests using nick-fields/retry action
• Maintained existing test execution structure while improving reliability

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[iankhou]

Will raise another PR that includes a fix at the action level.