### 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
project_run_bar->stop_child_process(p_pid);
}
Ref<Script> EditorNode::get_object_custom_type_base(const Object *p_object) const {
	ERR_FAIL_NULL_V(p_object, nullptr);
	Ref<Script> scr = p_object->get_script();
	if (scr.is_valid()) {
		
		
		
		
		
		
		StringName base = scr->get_instance_base_type();
		if (base != StringName() && EditorNode::get_editor_data().get_custom_types().has(base)) {
			const Vector<EditorData::CustomType> &types = EditorNode::get_editor_data().get_custom_types()[base];
			Ref<Script> base_scr = scr;
			while (base_scr.is_valid()) {
				for (int i = 0; i < types.size(); ++i) {
					if (types[i].script == base_scr) {
						return types[i].script;
					}
				}
				base_scr = base_scr->get_base_script();
			}
		}
	}
	return nullptr;
}
StringName EditorNode::get_object_custom_type_name(const Object *p_object) const {