Tab focus does not cycle between NativeWebView and the main window properly.

[fleeting-zone]

Describe the bug

When the last focusable element inside the WebView loses focus, the Tab key no longer cycles focus back to the first element.
The user has to click on the window or the WebView itself to restore the focus chain.

To Reproduce

QQ20260826-020751.mp4

<Window xmlns="https://github.com/avaloniaui"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
        xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
        mc:Ignorable="d" d:DesignWidth="800" d:DesignHeight="450"
        x:Class="AvaloniaApplication2.MainWindow"
        Title="AvaloniaApplication2">
    <DockPanel Margin="16">
        
        <StackPanel DockPanel.Dock="Top" Spacing="4">
            <CheckBox Name="WebViewFocusableCheckBox" IsChecked="True" Focusable="False">
                Enable WebView Focus
            </CheckBox>
            
            <StackPanel DockPanel.Dock="Top" Orientation="Horizontal" Spacing="4">
                <Button Content="Button 1"></Button>
                <Button Content="Button 2"></Button>
                <Button Content="Button 3"></Button>
            </StackPanel>
        </StackPanel>
        
        <StackPanel DockPanel.Dock="Bottom" Orientation="Horizontal" Spacing="4">
            <Button Content="Button 4"></Button>
            <Button Content="Button 5"></Button>
            <Button Content="Button 6"></Button>
        </StackPanel>
        
        <Border BorderThickness="1" BorderBrush="#BBB" Margin="0 4">
            <NativeWebView 
                Name="WebView" 
                Focusable="{Binding IsChecked, ElementName=WebViewFocusableCheckBox}" />
        </Border>
        
    </DockPanel>
</Window>

using System;
using Avalonia.Controls;

namespace AvaloniaApplication2;

public partial class MainWindow : Window
{
    private const string Html = """
                                <html>
                                    <head>
                                        <style>
                                            button {
                                                padding: 8px 16px;
                                                font-size: 14px;
                                                background-color: #fff;
                                                color: #606266;
                                                border: 1px solid #dcdfe6;
                                                border-radius: 4px;
                                                outline: none;
                                            }
                                            button:focus {
                                                outline: 3px solid #409eff;
                                            }
                                        </style>
                                    </head>
                                    <body>
                                        <button>button 7</button>
                                        <button>button 8</button>
                                        <button>button 9</button>
                                    </body>
                                </html>          
                                """;

    public MainWindow()
    {
        InitializeComponent();
        WebView.Source = new Uri($"data:text/html;charset=utf-8,{Uri.EscapeDataString(Html)}");
    }
}

Expected behavior

No response

Avalonia WebView version

12.1.0

Avalonia version

12.1.1

OS

Windows

Additional context

No response

[fleeting-zone]

Hi, just a gentle ping on this — it's been about a week since I opened it.

If hybrid applications are encouraged, I believe proper focus management between WebView and native controls is a fundamental requirement. Is this something you're planning to address? If not, is there a way to handle focus manually in the meantime?

Any guidance would be really appreciated. Thanks!