fix(search): improve search index fetching with error handling

[chenjiahan]

Summary

Improve search index fetching with error handling, the error logs will be like:

Related Issue

• https://bsky.app/profile/andrewvijay.bsky.social/post/3lhlbiqbqjk2x

Checklist

• Tests updated (or not required).
• Documentation updated (or not required).

[netlify]

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Lighthouse	1 paths audited Performance: 79 (🟢 up 8 from production) Accessibility: 97 (no change from production) Best Practices: 92 (no change from production) SEO: 100 (no change from production) PWA: - View the detailed breakdown and full score reports

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