### 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)

}
		if (!skip) {
			print_line("ADDING: " + file);
			
			const bool uncompressed = info.compression_method == 0;
			zip_fileinfo zipfi = get_zip_fileinfo();
			zipOpenNewFileInZip(unaligned_apk,
					file.utf8().get_data(),
					&zipfi,
					nullptr,
					0,
					nullptr,
					0,
					nullptr,
					uncompressed ? 0 : Z_DEFLATED,
					Z_DEFAULT_COMPRESSION);
			zipWriteInFileInZip(unaligned_apk, data.ptr(), data.size());
			zipCloseFileInZip(unaligned_apk);
		}
		ret = unzGoToNextFile(pkg);
	}
	if (!invalid_abis.is_empty()) {
		add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Missing libraries in the export template for the selected architectures: %s. Please build a template with all required libraries, or uncheck the missing architectures in the export preset."), join_abis(invalid_abis, ", ", false)));
		CLEANUP_AND_RETURN(ERR_FILE_NOT_FOUND);
	}
	if (ep.step(TTR("Adding files..."), 1)) {
		CLEANUP_AND_RETURN(ERR_SKIP);
	}
	err = OK;
	if (p_flags & DEBUG_FLAG_DUMB_CLIENT) {