[Feature]: Provide a public API to programmatically close the default find/search bar in Webview2

Describe the feature/enhancement you need

Product:
Microsoft.Web.WebView2 (WPF/.NET 8)
Description:
When using the default find/search bar in WebView2, there is no supported way to programmatically close or hide the bar.
• The CoreWebView2 API does not expose a method like StopFind or CloseFindBar.
• Sending synthetic ESC key events (via SendInput, SendMessage, or similar Win32 APIs) does not close the find bar, even when the WebView2 control has focus.
• Only a real, physical ESC key press by the user closes the bar.
Expected Behavior:
There should be a public API to programmatically close the default find/search bar, or synthetic input should be processed the same as real user input.

Actual Behavior:
• No API exists to close the find bar.
• Synthetic ESC key events are ignored by the Chromium input pipeline.
• The only workaround is to suppress the default find UI and implement a custom one, which is not always desirable.

Steps to Reproduce:

1. Open a WebView2 control in a WPF app.
2. Show the default find/search bar (Ctrl+F).
3. Attempt to close it programmatically using SendInput or SendMessage with ESC.
4. Observe that the bar remains open.
   Workarounds Tried:
   • SendInput and SendMessage with ESC key.
   • Focusing the WebView2 control before sending input.
   • Searching for any public API to close the find bar.

The scenario/use case where you would use this feature

There are some use-case in my application where search bar is opened in one page. Then user is navigating to another page where serchbar is not expected to be visible. This is a customer complaint.

How important is this request to you?

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Suggested implementation

Request:
Please provide a public API to programmatically close the default find/search bar, or document a supported way to do so.
Environment:
• WebView2 SDK: [your version]
• .NET: 8.0
• OS: [your OS version]
• WPF

What does your app do? Is there a pending deadline for this request?

No response