### 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)

Vector<SharedObject> shared_objects;
		err = save_pack(p_preset, p_debug, pack_path, &shared_objects);
		bool lib_validation = p_preset->get("codesign/entitlements/disable_library_validation");
		if (!shared_objects.is_empty() && sign_enabled && ad_hoc && !lib_validation) {
			add_message(EXPORT_MESSAGE_INFO, TTR("Entitlements Modified"), TTR("Ad-hoc signed applications require the 'Disable Library Validation' entitlement to load dynamic libraries."));
			lib_validation = true;
		
		if (!shared_objects.is_empty() && sign_enabled && codesign_tool == 2) {
			add_message(EXPORT_MESSAGE_ERROR, TTR("Code Signing"), TTR("'rcodesign' doesn't support signing applications with embedded dynamic libraries."));
		
		String ent_path = p_preset->get("codesign/entitlements/custom_file");
		String hlp_ent_path = EditorPaths::get_singleton()->get_cache_dir().path_join(pkg_name + "_helper.entitlements");
		if (sign_enabled && (ent_path.is_empty())) {
			ent_path = EditorPaths::get_singleton()->get_cache_dir().path_join(pkg_name + ".entitlements");
			Ref<FileAccess> ent_f = FileAccess::open(ent_path, FileAccess::WRITE);
			if (ent_f.is_valid()) {
				ent_f->store_line("<?xml version=\"1.0\" encoding=\"UTF-8\"?>");
				ent_f->store_line("<!DOCTYPE plist PUBLIC \"-//Apple//DTD PLIST 1.0//EN\" \"http://www.apple.com/DTDs/PropertyList-1.0.dtd\">");
				ent_f->store_line("<plist version=\"1.0\">");
				ent_f->store_line("<dict>");
				if (Engine::get_singleton()->has_singleton("GodotSharp")) {
					
					ent_f->store_line("<key>com.apple.security.cs.allow-jit</key>");
					ent_f->store_line("<true/>");
					ent_f->store_line("<key>com.apple.security.cs.allow-unsigned-executable-memory</key>");
					ent_f->store_line("<true/>");
					ent_f->store_line("<key>com.apple.security.cs.allow-dyld-environment-variables</key>");
					ent_f->store_line("<true/>");
				 else {
					if ((bool)p_preset->get("codesign/entitlements/allow_jit_code_execution")) {