Unable to change Keyboard language programmatically even though WebView2.Focus() is used

Description
Unable to change Keyboard language programmatically even though WebView2.Focus() is used

Version
SDK: 1.0.1054.31-release
Runtime: Stable 97.0.1072.55
Framework: WinForms
OS: Win10, Win7

Repro Steps
I am trying to programmaticaly change keyboard language for WebView2. This works when I use CefSharp, but I cannot succeed with WebView. Perhaps, Focus() method doesn't work fully?
I have 2 keyboard languages installed (US-English and Greek) and I am using the following code:

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;
using Microsoft.Web.WebView2.Core;
using Microsoft.Web.WebView2.WinForms;

namespace WindowsFormsApp1
{
    public partial class Form1 : Form
    {
        WebView2 browser;
        
        public Form1()
        {
            InitializeComponent();
            InitializeAsync();
        }

        public async Task InitializeAsync()
        {
            browser = new WebView2();
            browser.Dock = DockStyle.Fill;
            browser.Parent = this;
            await browser.EnsureCoreWebView2Async(null);
            browser.Source = new Uri("https://www.bing.com");
            browser.Focus();
            InputLanguage.CurrentInputLanguage = InputLanguage.FromCulture(new System.Globalization.CultureInfo("el-gr"));
        }
    }
}

After I execute the app, keyboard language is still English for WebView2 (which is my system default) and not Greek. I can see that Focus() is working, because the caret is placed inside Bing's search box, but the language is still English.

AB#37717778