### 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)

for (const PropertyInfo &pi : props) {
			if (!pi.name.begins_with("autoload/")) {
				continue;
			}
			String autoload_path = GLOBAL_GET(pi.name);
			if (autoload_path.begins_with("*")) {
				autoload_path = autoload_path.substr(1);
			}
			_export_find_dependencies(autoload_path, paths);
		}
	}
	
	_edit_filter_list(paths, String("*.icns"), false);
	_edit_filter_list(paths, String("*.ico"), false);
	_edit_filter_list(paths, p_preset->get_include_filter(), false);
	_edit_filter_list(paths, p_preset->get_exclude_filter(), true);
	
	_edit_filter_list(paths, String("*.import"), true);
	
	bool enc_pck = p_preset->get_enc_pck();
	Vector<String> enc_in_filters;
	Vector<String> enc_ex_filters;
	Vector<uint8_t> key;
	if (enc_pck) {
		Vector<String> enc_in_split = p_preset->get_enc_in_filter().split(",");
		for (int i = 0; i < enc_in_split.size(); i++) {
			String f = enc_in_split[i].strip_edges();
			if (f.is_empty()) {
				continue;
			}