### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
Ref<Script> scr = Object::cast_to<Script>(p_script);
	if (scr.is_null()) {
		return;
	}
	project_settings_editor->update_plugins();
	project_settings_editor->hide();
	push_item(scr.operator->());
	if (p_activate_name.length()) {
		set_addon_plugin_enabled(p_activate_name, true);
	}
}
void EditorNode::_remove_plugin_from_enabled(const String &p_name) {