### 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)

0,
			nullptr,
			0, 
			Z_DEFAULT_COMPRESSION);
	zipWriteInFileInZip(unaligned_apk, command_line_flags.ptr(), command_line_flags.size());
	zipCloseFileInZip(unaligned_apk);
	zipClose(unaligned_apk, nullptr);
	unzClose(pkg);
	if (err != OK) {
		CLEANUP_AND_RETURN(err);
	}
	
	static const int ZIP_ALIGNMENT = 4;
	
	const int next_step = should_sign ? 103 : 105;
	if (ep.step(TTR("Aligning APK..."), next_step)) {
		CLEANUP_AND_RETURN(ERR_SKIP);
	}
	unzFile tmp_unaligned = unzOpen2(tmp_unaligned_path.utf8().get_data(), &io);
	if (!tmp_unaligned) {
		add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not unzip temporary unaligned APK.")));
		CLEANUP_AND_RETURN(ERR_FILE_NOT_FOUND);
	}
	ret = unzGoToFirstFile(tmp_unaligned);
	io2 = zipio_create_io(&io2_fa);
	zipFile final_apk = zipOpen2(p_path.utf8().get_data(), APPEND_STATUS_CREATE, nullptr, &io2);
	
	
	
	int bias = 0;