🎨 Palette: Add Clear Search action to empty state

[AhmmedSamier]

💡 What: Added an explicit "Clear Search" actionable item to the QuickPick empty state container.
🎯 Why: When users encounter an empty state in a search interface, they often need to manually erase their query to recover. Providing a clear, actionable recovery path built directly into the empty state context significantly reduces interaction friction.
📸 Before/After: N/A (Internal visual change to QuickPick list)
♿ Accessibility: Improves accessibility by providing a keyboard-navigable and explicitly labeled recovery path from error/empty states instead of relying purely on backspace/input modifications.

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PR created automatically by Jules for task 12110186785905209636 started by @AhmmedSamier

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📥 Commits

Reviewing files that changed from the base of the PR and between b237974 and 66bcb7e.

📒 Files selected for processing (2)

• .Jules/palette.md
• vscode-extension/src/search-provider.ts

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• Create PR with unit tests
• Commit unit tests in branch palette/add-clear-search-action-12110186785905209636

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