### 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)

value_dictionary["blue"] = color.b;
			value_dictionary["alpha"] = color.a;
			String value = value_format.format(value_dictionary, "$_");
			strnew += lines[i].replace("$launch_screen_background_color", value) + "\n";
		} else if (lines[i].find("$pbx_locale_file_reference") != -1) {
			String locale_files;
			Vector<String> translations = GLOBAL_GET("internationalization/locale/translations");
			if (translations.size() > 0) {
				HashSet<String> languages;
				for (const String &E : translations) {
					Ref<Translation> tr = ResourceLoader::load(E);
					if (tr.is_valid() && tr->get_locale() != "en") {
						languages.insert(tr->get_locale());
					}
				}
				int index = 0;
				for (const String &lang : languages) {
					locale_files += "D0BCFE4518AEBDA2004A" + itos(index).pad_zeros(4) + " /* " + lang + " */ = {isa = PBXFileReference; lastKnownFileType = text.plist.strings; name = " + lang + "; path = " + lang + ".lproj/InfoPlist.strings; sourceTree = \"<group>\"; };\n";
					index++;
				}
			}
			strnew += lines[i].replace("$pbx_locale_file_reference", locale_files);
		} else if (lines[i].find("$pbx_locale_build_reference") != -1) {
			String locale_files;
			Vector<String> translations = GLOBAL_GET("internationalization/locale/translations");
			if (translations.size() > 0) {
				HashSet<String> languages;
				for (const String &E : translations) {
					Ref<Translation> tr = ResourceLoader::load(E);
					if (tr.is_valid() && tr->get_locale() != "en") {