feat: add We Like Tools footer badge

[andrewzolotukhin]

Summary

Add the We Like Tools listing badge to the public landing-page footer, using the directory's hosted light and dark assets and the existing theme-aware badge pattern.

Original request

Add a new We Like Tools badge using the PR workflow, using the supplied light and dark variants, without publishing a blog post.

What changed

• Added a footer badge linking to https://weliketools.com/tool/xpenser-cleverbrush.
• Rendered badge.png in light mode and badge-dark.png in dark mode at the supplied 54px height with lazy loading.
• Preserved accessible naming, keyboard focus styling, safe new-tab link attributes, and the existing responsive footer layout.
• Added component and Playwright coverage for the link, image attributes, and theme switching.

Reasoning

This follows the established hosted-badge implementation already used by similar directory badges in landing-page.tsx. Keeping the vendor assets remote preserves the supplied snippet, while the existing light/dark utility classes make the correct variant visible without additional client-side state. No width was invented because the supplied badge snippet specifies only height.

Blog post

Skipped: this is a small presentation-only footer addition, and the original request explicitly asks for no blog post.

Screenshots / Preview

Preview: https://xpenser-pr-086.cleverbrush.com

Light theme asset	Dark theme asset

Manual preview QA at 1440×1000 confirmed:

• The badge fits the existing responsive footer badge grid without overflow or overlap.
• Light mode shows only badge.png; dark mode shows only badge-dark.png.
• Both variants render at the supplied 54px height and lazy-load after the footer enters view.
• The accessible link targets https://weliketools.com/tool/xpenser-cleverbrush with _blank and noopener noreferrer.
• Browser runtime reported no page or console errors.

Validation

• npm run lint — 359 files checked
• npm run typecheck — 11 tasks passed
• npm test — 95 files and 520 tests passed
• Focused apps/web/components/landing-page.test.tsx — 1 test passed
• Lint and test GitHub check
• Deploy PR environment GitHub check
• Playwright e2e GitHub check
• Preview QA in light and dark themes
• SigNoz checked for service.name = xpenser-web-pr-86 across logs, traces, and http.server.duration.count; no matching resources were available in the preview QA window, so telemetry is explicitly recorded as unavailable rather than reported as a pass.
• PR-ready notification sent through the configured notifier.

Checklist

• I kept the change focused.
• I updated docs or tests where needed.
• I checked for secrets, local env files, and generated build output.
• API changes keep contracts, endpoint metadata, and handlers aligned (not applicable; no API changes).