### 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)

CLEANUP_AND_RETURN(ERR_SKIP);
	}
	args.clear();
	args.push_back("-s");
	args.push_back(devices[p_device].id);
	args.push_back("install");
	args.push_back("-r");
	args.push_back(tmp_export_path);
	output.clear();
	err = OS::get_singleton()->execute(adb, args, &output, &rv, true);
	print_verbose(output);
	if (err || rv != 0) {
		add_message(EXPORT_MESSAGE_ERROR, TTR("Run"), vformat(TTR("Could not install to device: %s"), output));
		CLEANUP_AND_RETURN(ERR_CANT_CREATE);
	}
	if (use_remote) {
		if (use_reverse) {
			static const char *const msg = "--- Device API >= 21; debugging over USB ---";
			EditorNode::get_singleton()->get_log()->add_message(msg, EditorLog::MSG_TYPE_EDITOR);
			print_line(String(msg).to_upper());
			args.clear();
			args.push_back("-s");
			args.push_back(devices[p_device].id);
			args.push_back("reverse");
			args.push_back("--remove-all");
			output.clear();
			OS::get_singleton()->execute(adb, args, &output, &rv, true);
			print_verbose(output);
			if (p_debug_flags & DEBUG_FLAG_REMOTE_DEBUG) {
				int dbg_port = EDITOR_GET("network/debug/remote_port");