### 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
if (p_res.is_null()) {
		return false;
	}
	if (processed.has(p_res)) {
		return processed[p_res];
	}
	bool changed = p_res->is_edited();
	p_res->set_edited(false);
	bool subchanged = _find_and_save_edited_subresources(p_res.ptr(), processed, flags);
	if (p_res->get_path().is_resource_file()) {
		if (changed || subchanged) {
			ResourceSaver::save(p_res, p_res->get_path(), flags);
		}
		processed[p_res] = false; 
		return false;
	} else {
		processed[p_res] = changed;
		return changed;
	}
}
bool EditorNode::_find_and_save_edited_subresources(Object *obj, HashMap<Ref<Resource>, bool> &processed, int32_t flags) {