At the moment, Limitless does not have direct integration with Apple Calendar. You can add your Apple Calendar to your Google Calendar to view it inside the Limitless app.
Only public (accessible by link) Apple Calendars can be added to Google Calendar. Google Calendar does not sync in real-time with Apple Calendar, and you may notice a delay in seeing your events.
Get your Apple Calendar Link
Make sure your calendar is set to public
Web
MacOS
iOS
Copy the URL (on MacOS right click the calendar > Copy URL to Clipboard)
Add the calendar to Google Calendar
Add a new calendar from URL (Make sure you're signed into the same Google Account you connected to Limitless)
Paste in the URL you just copied
Press Add Calendar