### 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)

src_pkg_name = find_export_template("ios.zip", &err);
		if (src_pkg_name.is_empty()) {
			add_message(EXPORT_MESSAGE_ERROR, TTR("Prepare Templates"), TTR("Export template not found."));
			return ERR_FILE_NOT_FOUND;
		}
	}
	if (!DirAccess::exists(dest_dir)) {
		return ERR_FILE_BAD_PATH;
	}
	{
		Ref<DirAccess> da = DirAccess::create(DirAccess::ACCESS_FILESYSTEM);
		if (da.is_valid()) {
			String current_dir = da->get_current_dir();
			
			
			if (da->change_dir(dest_dir + binary_name + ".xcodeproj") == OK) {
				da->erase_contents_recursive();
			}
			if (da->change_dir(dest_dir + binary_name) == OK) {
				da->erase_contents_recursive();
			}
			da->change_dir(current_dir);
			if (!da->dir_exists(dest_dir + binary_name)) {
				Error err = da->make_dir(dest_dir + binary_name);
				if (err) {
					return err;
				}
			}
		}
	}