Improve landing readiness refresh and navigation fallback

[G-Fourteen]

Summary

• keep the launch link synced with the computed AI app URL and reuse it for fallback navigation when the embedded experience is unavailable
• improve launch URL resolution by honoring configured hrefs and normalizing base paths before falling back to the AI index
• trigger extra readiness scans when the page loads or regains focus so the lights and call-to-action update after browser capability changes

Testing

• npm run test:e2e

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https://chatgpt.com/codex/tasks/task_b_69081983e3ac8329b3c66e56a4b61b5d