[user34283]

No group policy is needed on Windows 11 Pro, it's in the settings:

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Type something in the Start menu

Top right meatballs menu button

'Search settings'

'Let search apps show results' -> Off (or disable only Bing)

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I don't know about the Home edition.

[mjmas]

That doesn't appear for me. Win 11 Pro 25H2.

[user34283]

After you typed a Search term, there is no menu button at the right on the same vertical row as the 'All / Apps / Documents' bar?

You can also launch that Settings page by running in powershell:

  Start-Process "ms-settings:cortana-windowssearch"

Or just 'Settings' and in the left navigation 'Privacy & Security' -> 'Search'