### 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)

APKExportData ed;
		ed.ep = &ep;
		ed.apk = unaligned_apk;
		err = export_project_files(p_preset, p_debug, ignore_apk_file, &ed, save_apk_so);
	} else {
		if (apk_expansion) {
			err = save_apk_expansion_file(p_preset, p_debug, p_path);
			if (err != OK) {
				add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), TTR("Could not write expansion package file!"));
				return err;
			}
		} else {
			APKExportData ed;
			ed.ep = &ep;
			ed.apk = unaligned_apk;
			err = export_project_files(p_preset, p_debug, save_apk_file, &ed, save_apk_so);
		}
	}
	if (err != OK) {
		unzClose(pkg);
		add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not export project files.")));
		CLEANUP_AND_RETURN(ERR_SKIP);
	}
	zip_fileinfo zipfi = get_zip_fileinfo();
	zipOpenNewFileInZip(unaligned_apk,
			"assets/_cl_",
			&zipfi,
			nullptr,
			0,
			nullptr,