Don't deliver any new events once exiting.

crates/bevy_winit/src/lib.rs

@@ -302,6 +302,11 @@ pub fn winit_runner(mut app: App) -> AppExit {
     let mut winit_events = Vec::default();
     // set up the event loop
     let event_handler = move |event, event_loop: &EventLoopWindowTarget<UserEvent>| {
+        // The event loop is in the process of exiting, so don't deliver any new events
+        if event_loop.exiting() {
+            return;
+        }
+
         handle_winit_event(
             &mut app,
             &mut runner_state,
@@ -776,11 +781,6 @@ fn handle_winit_event(
     }
 
     if let Some(app_exit) = app.should_exit() {
-        // The event loop is in the process of exiting, but we might still be processing events.
-        if event_loop.exiting() {
-            return;
-        }
-
         if let Err(err) = exit_notify.try_send(app_exit) {
             error!("Failed to send a app exit notification! This is a bug. Reason: {err}");
         };