To enable channel notifications for a private Slack channel, you'll need to add the Tettra app to that channel.
If you're not a Slack admin, make sure the app is whitelisted for your Slack Workspace first.
Select the channel and on the channel page, click on the channel name.
On the pop-up menu, click on Integrations and then on Add an App.
Once you've added the Tettra app, you can connect the private channel to a Tettra category by following the instructions in the article about Slack channel notifications.