### 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)

p_log->add_text("\t");
			if (icon.is_valid()) {
				p_log->add_image(icon);
			}
			p_log->pop();
			p_log->push_cell();
			p_log->push_color(color);
			p_log->add_text(vformat("[%s]: %s", msg.category, msg.text));
			p_log->pop();
			p_log->pop();
		}
		p_log->pop();
		p_log->add_newline();
	}
	p_log->add_newline();
	return has_messages;
}
void EditorExportPlatform::gen_debug_flags(Vector<String> &r_flags, int p_flags) {
	String host = EDITOR_GET("network/debug/remote_host");
	int remote_port = (int)EDITOR_GET("network/debug/remote_port");
	if (EditorSettings::get_singleton()->has_setting("export/android/use_wifi_for_remote_debug") && EDITOR_GET("export/android/use_wifi_for_remote_debug")) {
		host = EDITOR_GET("export/android/wifi_remote_debug_host");
	} else if (p_flags & DEBUG_FLAG_REMOTE_DEBUG_LOCALHOST) {
		host = "localhost";
	}
	if (p_flags & DEBUG_FLAG_DUMB_CLIENT) {
		int port = EDITOR_GET("filesystem/file_server/port");
		String passwd = EDITOR_GET("filesystem/file_server/password");
		r_flags.push_back("--remote-fs");
		r_flags.push_back(host + ":" + itos(port));