### 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)

EditorExportPlatformIOS *ea = static_cast<EditorExportPlatformIOS *>(ud);
	while (!ea->quit_request.is_set()) {
		
		if (!ea->plugins_changed.is_set()) {
			MutexLock lock(ea->plugins_lock);
			Vector<PluginConfigIOS> loaded_plugins = get_plugins();
			if (ea->plugins.size() != loaded_plugins.size()) {
				ea->plugins_changed.set();
			} else {
				for (int i = 0; i < ea->plugins.size(); i++) {
					if (ea->plugins[i].name != loaded_plugins[i].name || ea->plugins[i].last_updated != loaded_plugins[i].last_updated) {
						ea->plugins_changed.set();
						break;
					}
				}