### 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 (String(GLOBAL_GET("application/config/name")) != "") {
		pkg_name = String(GLOBAL_GET("application/config/name"));
	 else {
		pkg_name = "Unnamed";
	
	pkg_name = OS::get_singleton()->get_safe_dir_name(pkg_name);
	String export_format;
	if (p_path.ends_with("zip")) {
		export_format = "zip";
	 else if (p_path.ends_with("app")) {
		export_format = "app";
#ifdef MACOS_ENABLED
	 else if (p_path.ends_with("dmg")) {
		export_format = "dmg";
	 else if (p_path.ends_with("pkg")) {
		export_format = "pkg";
#endif
	 else {
		add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), TTR("Invalid export format."));
		return ERR_CANT_CREATE;
	
	// Create our application bundle.
	String tmp_app_dir_name = pkg_name + ".app";
	String tmp_base_path_name;
	String tmp_app_path_name;
	String scr_path;
	if (export_format == "app") {
		tmp_base_path_name = p_path.get_base_dir();
		tmp_app_path_name = p_path;
		scr_path = p_path.get_basename() + ".command";