We support the option of embedding the Auto-Sync lightning component in community sites. Follow the steps below:
Login as System Admin to Salesforce, and go to Setup > Feature Settings > Digital Experiences > All Sites
Find the relevant community site and click Workspaces
Under 'My Workspaces' click Builder
By default, the first page you will see is the site homepage. From the top-left menu, navigate to the Lead > Lead Details or Contact > Contact Details layouts
From the top-left menu, click the Components button:
Under the Content section, find the "Visualforce Page" option and locate it in the desired position on the layout.
In the 'Visualforce Page Name' field, select the "Tuvis Thread - Lead/Contact" option. Make sure that the height is at least 400px and that the Record ID is set to the default option - {!recordId}.
Click Preview on the top-right, to make sure that the component is showing up properly and in the correct position.
Click Publish