### Tested versions

Godot Engine v4.2.stable.official.46dc27791

### System information

Windows 10

### Issue description

When exporting to web, Godot fails with this error in the console:

> scene/main/window.cpp:884 - Attempting to make child window exclusive, but the parent window already has another exclusive child. This window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->VBoxContainer@<!-- -->137/@<!-- -->AcceptDialog@<!-- -->411, parent window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559, current exclusive child window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->ProgressDialog@<!-- -->17444

![a](https://github.com/godotengine/godot/assets/2000051/bf9d22aa-d3fe-4e11-bff6-c387e740fe90)

This happens for newly created empty projects.


### Steps to reproduce

1. Open the attached project (or create a new project).
2. Project->Export->Export All
3. Observe the console error.  No output files are generated.


### Minimal reproduction project (MRP)

[export_test.zip](https://github.com/godotengine/godot/files/13574810/export_test.zip)

}
		}
		
		Vector<Device> ldevices;
		
		String idepl = EDITOR_GET("export/ios/ios_deploy");
		if (idepl.is_empty()) {
			idepl = "ios-deploy";
		}
		{
			String devices;
			List<String> args;
			args.push_back("-c");
			args.push_back("-timeout");
			args.push_back("1");
			args.push_back("-j");
			args.push_back("-u");
			args.push_back("-I");
			int ec = 0;
			Error err = OS::get_singleton()->execute(idepl, args, &devices, &ec, true);
			if (err == OK && ec == 0) {
				Ref<JSON> json;
				json.instantiate();
				devices = "{ \"devices\":[" + devices.replace("}{", "},{") + "]}";
				err = json->parse(devices);
				if (err == OK) {
					Dictionary data = json->get_data();
					Array devices = data["devices"];
					for (int i = 0; i < devices.size(); i++) {
						Dictionary device_event = devices[i];