### 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
}
	opening_prev = false;
	EditorDebuggerNode::get_singleton()->update_live_edit_root();
	
	
	if (!restoring_scenes) {
		push_item(new_scene);
	} else {
		
		ObjectID id = new_scene->get_instance_id();
		if (id != editor_history.get_current()) {
			editor_history.add_object(id);
		}
	}
	
	if (editor_state_cf->has_section_key("editor_states", "selected_nodes")) {
		TypedArray<NodePath> selected_node_list = editor_state_cf->get_value("editor_states", "selected_nodes", TypedArray<String>());
		for (int i = 0; i < selected_node_list.size(); i++) {
			Node *selected_node = new_scene->get_node_or_null(selected_node_list[i]);
			if (selected_node) {
				editor_selection->add_node(selected_node);
			}
		}
	}
	if (!restoring_scenes) {
		save_editor_layout_delayed();
	}
	return OK;
}
HashMap<StringName, Variant> EditorNode::get_modified_properties_for_node(Node *p_node) {