There are two most important parts to keep your story in sync
1. Once connected to your Notion database, you can use the "reload data" option to refresh your graph story to your data.

2. On the side bar of the Graph (generated from Notion data), you can see the Notion logo button, with just one-click, it will insert the live embed into your Notion page.

Hope this helps for people who looks for Notion integration - https://twitter.com/columnsai/status/1652004050232299520