### 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)

FileAccess::set_unix_permissions(scr_path, 0755);
			if (err != OK) {
				add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), TTR("Could not create console wrapper."));
			
		
	
	= OK) {
		if (ep.step(TTR("Making PKG"), 1)) {
			return ERR_SKIP;
		
		// See if we can code sign our new package.
		bool sign_enabled = (p_preset->get("codesign/codesign").operator int() > 0);
		bool  false;
		int codesign_tool = p_preset->get("codesign/codesign");
		switch (codesign_tool) {
			case 1: { 
				 true;
			 break;
			case 2: { 
				 p_preset->get_or_env("codesign/certificate_file", ENV_MAC_CODESIGN_CERT_FILE).operator String().is_empty() || p_preset->get_or_env("codesign/certificate_password", ENV_MAC_CODESIGN_CERT_PASS).operator String().is_empty();
			 break;
#ifdef MACOS_ENABLED
			case 3: { 
				 (p_preset->get("codesign/identity") == "" || p_preset->get("codesign/identity") == "-");
			 break;
#endif
			default: {
			;
		
		String pack_path = tmp_app_path_name + "/Contents/Resources/" + pkg_name + ".pck";