### 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 (p_paths.has(p_path)) {
		return;
	}
	p_paths.insert(p_path);
	EditorFileSystemDirectory *dir;
	int file_idx;
	dir = EditorFileSystem::get_singleton()->find_file(p_path, &file_idx);
	if (!dir) {
		return;
	}
	Vector<String> deps = dir->get_file_deps(file_idx);
	for (int i = 0; i < deps.size(); i++) {
		_export_find_dependencies(deps[i], p_paths);
	}
}
void EditorExportPlatform::_edit_files_with_filter(Ref<DirAccess> &da, const Vector<String> &p_filters, HashSet<String> &r_list, bool exclude) {