Windows: Focus is broken when an invisible window is created with maximized

Description

Repro

1. Apply the following patch
2. Run cargo run --example window
3. Before a window is opened, move focus to another window
4. winit window is opened without focus
5. Click somewhere on the winit window to move focus to the window
6. Window focus changed: true is expected to be printed but actually it is not printed. The winit window is actually focused but its internal state is still focused == false.

diff --git a/winit/examples/window.rs b/winit/examples/window.rs
index 7d9fc59f..1e22f893 100644
--- a/winit/examples/window.rs
+++ b/winit/examples/window.rs
@@ -23,12 +23,16 @@ struct App {
 impl ApplicationHandler for App {
     fn can_create_surfaces(&mut self, event_loop: &dyn ActiveEventLoop) {
         #[cfg(not(web_platform))]
-        let window_attributes = WindowAttributes::default();
+        let window_attributes =
+            WindowAttributes::default().with_maximized(true).with_visible(false);
         #[cfg(web_platform)]
         let window_attributes = WindowAttributes::default()
             .with_platform_attributes(Box::new(WindowAttributesWeb::default().with_append(true)));
         self.window = match event_loop.create_window(window_attributes) {
-            Ok(window) => Some(window),
+            Ok(window) => {
+                window.set_visible(true);
+                Some(window)
+            },
             Err(err) => {
                 error!("error creating window: {err}");
                 event_loop.exit();
@@ -38,8 +42,11 @@ impl ApplicationHandler for App {
     }

     fn window_event(&mut self, event_loop: &dyn ActiveEventLoop, _: WindowId, event: WindowEvent) {
-        info!("{event:?}");
+        // info!("{event:?}");
         match event {
+            WindowEvent::Focused(focused) => {
+                println!("Window focus changed: {focused}");
+            },
             WindowEvent::CloseRequested => {
                 info!("Close was requested; stopping");
                 event_loop.exit();

Windows version

Microsoft Windows [Version 10.0.26200.8457]

Winit version

HEAD (c4afadbfabf7b1e7989b40b493db1a4c7bd8ff4e)

Start with winit/examples/window.rs and reproduce the report using cargo run --example window with an invisible maximized window. Trace the Windows focus handling around create_window, set_visible(true), and WindowEvent::Focused; done means clicking the opened window emits Window focus changed: true and updates the internal focus state.