### 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)

da->list_dir_begin();
	String cur_dir = da->get_current_dir().replace("\\", "/");
	if (!cur_dir.ends_with("/")) {
		cur_dir += "/";
	}
	String cur_dir_no_prefix = cur_dir.replace("res://", "");
	Vector<String> dirs;
	String f = da->get_next();
	while (!f.is_empty()) {
		if (da->current_is_dir()) {
			dirs.push_back(f);
		} else {
			String fullpath = cur_dir + f;
			
			String fullpath_no_prefix = cur_dir_no_prefix + f;
			for (int i = 0; i < p_filters.size(); ++i) {
				if (fullpath.matchn(p_filters[i]) || fullpath_no_prefix.matchn(p_filters[i])) {
					if (!exclude) {
						r_list.insert(fullpath);
					} else {
						r_list.erase(fullpath);
					}
				}
			}
		}
		f = da->get_next();
	}
	da->list_dir_end();
	for (int i = 0; i < dirs.size(); ++i) {