### 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)

}
#ifndef WINDOWS_ENABLED
	
	args.push_front(rcedit_path);
	rcedit_path = wine_path;
#endif
	String str;
	Error err = OS::get_singleton()->execute(rcedit_path, args, &str, nullptr, true);
	if (FileAccess::exists(tmp_icon_path)) {
		DirAccess::remove_file_or_error(tmp_icon_path);
	}
	if (err != OK || (str.find("not found") != -1) || (str.find("not recognized") != -1)) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Resources Modification"), TTR("Could not start rcedit executable. Configure rcedit path in the Editor Settings (Export > Windows > rcedit), or disable \"Application > Modify Resources\" in the export preset."));
		return err;
	}
	print_line("rcedit (" + p_path + "): " + str);
	if (str.find("Fatal error") != -1) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Resources Modification"), vformat(TTR("rcedit failed to modify executable: %s."), str));
		return FAILED;
	}
	return OK;
}
Error EditorExportPlatformWindows::_code_sign(const Ref<EditorExportPreset> &p_preset, const String &p_path) {
	List<String> args;
#ifdef WINDOWS_ENABLED
	String signtool_path = EDITOR_GET("export/windows/signtool");
	if (!signtool_path.is_empty() && !FileAccess::exists(signtool_path)) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("Could not find signtool executable at \"%s\"."), signtool_path));
		return ERR_FILE_NOT_FOUND;
	}