### 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)

print_verbose("Removing previously installed libraries...");
	Error error;
	String libs_json = FileAccess::get_file_as_string(GDEXTENSION_LIBS_PATH, &error);
	if (error || libs_json.is_empty()) {
		print_verbose("No previously installed libraries found");
		return;
	}
	JSON json;
	error = json.parse(libs_json);
	ERR_FAIL_COND_MSG(error, "Error parsing \"" + libs_json + "\" on line " + itos(json.get_error_line()) + ": " + json.get_error_message());
	Vector<String> libs = json.get_data();
	Ref<DirAccess> da = DirAccess::create(DirAccess::ACCESS_RESOURCES);
	for (int i = 0; i < libs.size(); i++) {
		print_verbose("Removing previously installed library " + libs[i]);
		da->remove(libs[i]);
	}
	da->remove(GDEXTENSION_LIBS_PATH);
}
String EditorExportPlatformAndroid::join_list(const List<String> &p_parts, const String &p_separator) {