Add lighthouse to build workflow

[lamATnginx]

Proposed changes

• Follow up to Remove lighthouse from build workflow nginx/documentation#1136
• Add lighthouse to our build workflow.
• Fixed flaky test that page is logged in.

Checklist

Before creating a PR, run through this checklist and mark each as complete.

• I have read the CONTRIBUTING document
• If applicable, I have added tests that prove my fix is effective or that my feature works
• If applicable, I have checked that any relevant tests pass after adding my changes
• I have updated any relevant documentation (README.md and CHANGELOG.md)

[github-actions]

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[lamATnginx]

Pipeline is failing on purpose as we wait for the secrets to be added to the repo.

[lamATnginx]

Workflow failing on purpose since we don't have a lighthouse-report-main in the artifact store.

[TasoOneAsia]

Approved with some minor comments