### 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)

add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("'apksigner' returned with error #%d"), retval));
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("output: \n%s"), output));
		return ERR_CANT_CREATE;
	}
	if (ep.step(vformat(TTR("Verifying %s..."), export_label), 105)) {
		return ERR_SKIP;
	}
	args.clear();
	args.push_back("verify");
	args.push_back("--verbose");
	args.push_back(export_path);
	if (p_debug) {
		print_verbose("Verifying signed build using: " + String("\n") + apksigner + " " + join_list(args, String(" ")));
	}
	output.clear();
	err = OS::get_singleton()->execute(apksigner, args, &output, &retval, true);
	if (err != OK) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("Could not start apksigner executable."));
		return err;
	}
	print_verbose(output);
	if (retval) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("'apksigner' verification of %s failed."), export_label));
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("output: \n%s"), output));
		return ERR_CANT_CREATE;
	}
	print_verbose("Successfully completed signing build.");
	return OK;
}
void EditorExportPlatformAndroid::_clear_assets_directory() {