[dependabot:release-train-updater] Dependency update ready for review: bump `@playwright/test` in dashboard/site

## Dependency Release Train Summary (review-mode bundle)

### What changed
- Package/ecosystem: npm (`dashboard/site`)
- Manifest(s): `dashboard/site/package.json`, `dashboard/site/package-lock.json`
- Old version: `@playwright/test` `^1.55.0`
- New version: `@playwright/test` `^1.62.1`
- Update type: minor, dev-only (E2E test tooling)

### Why now
Routine freshness pass. `@playwright/test` was the safest single low-risk candidate found. No security advisory drove this (`npm audit` reports 0 vulnerabilities in both `dashboard/site` and the repo root). Other outdated packages in `dashboard/site` (`eslint` 9→10, `jsdom` 26→30, `vitest` 3→5, `globals` 16→17) require major-version migrations and were intentionally excluded from this bundle. Root `package.json` dependencies are already at latest stable.

### Risk assessment
- Runtime/dev/build/CI scope: dev/test only, not shipped to production
- Direct/transitive: direct devDependency
- Reachability: used only by the dashboard site's `npm run test:e2e` suite

### Validation
- Commands run: `npm install @playwright/test@^1.62.1 --save-dev`, `npm run typecheck`, `npm test`, `npm run lint`
- Result: typecheck clean; 357/357 unit tests passed; lint clean
- Remaining gaps: `npm run test:e2e` was not run (requires downloading Playwright browser binaries, not available in this sandbox). Recommend running it in CI before merge.

### Control Plane
- Correlation ID: 33900264755-158
- Central repo: `githubnext/gh-aw-cao`
- Run URL: https://github.com/githubnext/gh-aw-cao/actions/runs/33900264755

Smart-Dependabot-Merge-Candidate: yes

This run operated in `review` mode against `githubnext/gh-aw-cao` (target `githubnext/gh-aw-cao`), so the proposed diff and validation logs are attached as a review-bundle artifact rather than opened as a live pull request. A maintainer with target-repo authority should replay this change as a real PR in `githubnext/gh-aw-cao` if it looks good.

> Generated by [:dependabot: Dependabot / Release Trains](https://github.com/githubnext/gh-aw-cao/actions/runs/33900264755) · copilot · auto · 58.2 AIC · ⌖ 7.17 AIC · ⊞ 20.5K · [◷](https://github.com/search?q=repo%3Agithubnext%2Fgh-aw-cao+is%3Aissue+%22gh-aw-workflow-call-id%3A+githubnext%2Fgh-aw-cao%2Fdependabot-release-train-updater%22&type=issues)
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> - [x] expires on Sep 18, 2026, 5:31 PM UTC

Start with dashboard/site/package.json and dashboard/site/package-lock.json, then inspect the proposed @playwright/test update and the dashboard site's test scripts. Replay the review-bundle change as a real PR, run typecheck, unit tests, lint, and the E2E suite with browser binaries available. Done means the manifests are updated and all applicable validation passes.

Written by the indexing model from the issue text.