### 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)

String output;
	List<String> args;
	args.push_back("sign");
	args.push_back("--verbose");
	args.push_back("--ks");
	args.push_back(keystore);
	args.push_back("--ks-pass");
	args.push_back("pass:" + password);
	args.push_back("--ks-key-alias");
	args.push_back(user);
	args.push_back(export_path);
	if (OS::get_singleton()->is_stdout_verbose() && p_debug) {
		
		print_verbose("Signing debug binary using: " + String("\n") + apksigner + " " + join_list(args, String(" ")));
	} else {
		List<String> redacted_args = List<String>(args);
		redacted_args.find(keystore)->set("<REDACTED>");
		redacted_args.find("pass:" + password)->set("pass:<REDACTED>");
		redacted_args.find(user)->set("<REDACTED>");
		print_line("Signing binary using: " + String("\n") + apksigner + " " + join_list(redacted_args, String(" ")));
	}
	int retval;
	Error 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_line(output);
	if (retval) {