fix: multi tab search

[Timeless0911]

Summary

fix some issues in multiple search origin

• Can not use keyboard to control choose search result
• Incorrect state change when search keywords change

Related Issue

Checklist

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

[netlify[bot]]

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Lighthouse	1 paths audited Performance: 96 (🟢 up 12 from production) Accessibility: 97 (no change from production) Best Practices: 92 (no change from production) SEO: 92 (no change from production) PWA: - View the detailed breakdown and full score reports

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