### 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)

if (different) {
				ea->devices = ldevices;
				ea->devices_changed.set();
			}
		}
		uint64_t sleep = 200;
		uint64_t wait = 3000000;
		uint64_t time = OS::get_singleton()->get_ticks_usec();
		while (OS::get_singleton()->get_ticks_usec() - time < wait) {
			OS::get_singleton()->delay_usec(1000 * sleep);
			if (ea->quit_request.is_set()) {
				break;
			}
		}
	}
}
#endif
Error EditorExportPlatformIOS::run(const Ref<EditorExportPreset> &p_preset, int p_device, int p_debug_flags) {
#ifdef MACOS_ENABLED
	ERR_FAIL_INDEX_V(p_device, devices.size(), ERR_INVALID_PARAMETER);
	String can_export_error;
	bool can_export_missing_templates;
	if (!can_export(p_preset, can_export_error, can_export_missing_templates)) {
		add_message(EXPORT_MESSAGE_ERROR, TTR("Run"), can_export_error);
		return ERR_UNCONFIGURED;
	}
	MutexLock lock(device_lock);
	EditorProgress ep("run", vformat(TTR("Running on %s"), devices[p_device].name), 3);
	String id = "tmpexport." + uitos(OS::get_singleton()->get_unix_time());
	Ref<DirAccess> filesystem_da = DirAccess::create(DirAccess::ACCESS_FILESYSTEM);