### 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 (signtool_path.is_empty()) {
		signtool_path = "signtool"; 
	}
#else
	String signtool_path = EDITOR_GET("export/windows/osslsigncode");
	if (!signtool_path.is_empty() && !FileAccess::exists(signtool_path)) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("Could not find osslsigncode executable at \"%s\"."), signtool_path));
		return ERR_FILE_NOT_FOUND;
	}
	if (signtool_path.is_empty()) {
		signtool_path = "osslsigncode"; 
	}
#endif
	args.push_back("sign");
	
#ifdef WINDOWS_ENABLED
	int id_type = p_preset->get_or_env("codesign/identity_type", ENV_WIN_CODESIGN_ID_TYPE);
	if (id_type == 0) { 
		args.push_back("/a");
	} else if (id_type == 1) { 
		if (p_preset->get_or_env("codesign/identity", ENV_WIN_CODESIGN_ID) != "") {
			args.push_back("/f");
			args.push_back(p_preset->get_or_env("codesign/identity", ENV_WIN_CODESIGN_ID));
		} else {
			add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("No identity found."));
			return FAILED;
		}
	} else if (id_type == 2) { 
		if (p_preset->get_or_env("codesign/identity", ENV_WIN_CODESIGN_ID) != "") {
			args.push_back("/sha1");