### 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<String> dir_files;
	Ref<DirAccess> da = DirAccess::open(p_path);
	if (da.is_valid()) {
		da->list_dir_begin();
		while (true) {
			String file = da->get_next();
			if (file.is_empty()) {
				break;
			}
			if (da->current_is_dir() || da->current_is_hidden()) {
				continue;
			}
			if (file.ends_with(PluginConfigAndroid::PLUGIN_CONFIG_EXT)) {
				dir_files.push_back(file);
			}
		}
		da->list_dir_end();
	}
	return dir_files;
}
Vector<PluginConfigAndroid> EditorExportPlatformAndroid::get_plugins() {