Hi Megan, thanks!
In my experimenting, I successfully created a Room in GSuite, and added some people into the chat, but couldn't find where to add tasks. It seems to be a new feature that hasn't rolled out to everybody yet. It may depend on your organization, or maybe just random. It'll take a while before I can test myself.
But generally speaking, I'm pessimistic about it - if your task shows up in the sidebar, but not in this extension, then it's fetched from different APIs, and likely not fixable.