### 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)

args.clear();
				args.push_back("-s");
				args.push_back(devices[p_device].id);
				args.push_back("reverse");
				args.push_back("tcp:" + itos(dbg_port));
				args.push_back("tcp:" + itos(dbg_port));
				output.clear();
				OS::get_singleton()->execute(adb, args, &output, &rv, true);
				print_verbose(output);
				print_line("Reverse result: " + itos(rv));
			}
			if (p_debug_flags & DEBUG_FLAG_DUMB_CLIENT) {
				int fs_port = EDITOR_GET("filesystem/file_server/port");
				args.clear();
				args.push_back("-s");
				args.push_back(devices[p_device].id);
				args.push_back("reverse");
				args.push_back("tcp:" + itos(fs_port));
				args.push_back("tcp:" + itos(fs_port));
				output.clear();
				err = OS::get_singleton()->execute(adb, args, &output, &rv, true);
				print_verbose(output);
				print_line("Reverse result2: " + itos(rv));
			}
		} else {
			static const char *const api_version_msg = "--- Device API < 21; debugging over Wi-Fi ---";
			static const char *const manual_override_msg = "--- Wi-Fi remote debug enabled in project settings; debugging over Wi-Fi ---";
			const char *const msg = use_wifi_for_remote_debug ? manual_override_msg : api_version_msg;
			EditorNode::get_singleton()->get_log()->add_message(msg, EditorLog::MSG_TYPE_EDITOR);
			print_line(String(msg).to_upper());