<Search/> should show clear button whenever there is a value

[necrosource-bot]

When controlled. Otherwise setting the value causes the box to display something with no way to clear it until the user types.

[necrosource-bot]

🤖 AI-generated fix ready for review

A fix for this issue has been proposed:

📎 View PR
🔗 View on Necrosource

Maintainer review required before merge.

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