### 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
}
}
void EditorNode::push_node_item(Node *p_node) {
	if (p_node || Object::cast_to<Node>(InspectorDock::get_inspector_singleton()->get_edited_object()) || Object::cast_to<MultiNodeEdit>(InspectorDock::get_inspector_singleton()->get_edited_object())) {
		
		push_item(p_node);
	}
}
void EditorNode::push_item(Object *p_object, const String &p_property, bool p_inspector_only) {
	if (!p_object) {
		InspectorDock::get_inspector_singleton()->edit(nullptr);
		NodeDock::get_singleton()->set_node(nullptr);
		SceneTreeDock::get_singleton()->set_selected(nullptr);
		InspectorDock::get_singleton()->update(nullptr);
		hide_unused_editors();
		return;
	}
	ObjectID id = p_object->get_instance_id();
	if (id != editor_history.get_current()) {
		if (p_inspector_only) {
			editor_history.add_object(id, String(), true);
		} else if (p_property.is_empty()) {
			editor_history.add_object(id);
		} else {
			editor_history.add_object(id, p_property);
		}
	}
	_edit_current();
}
void EditorNode::save_default_environment() {