The Tact app does not sync directly with the Exchange (Outlook) Calendar. However, you can still sync your Exchange Calendar to connect with the Tact app through your device's calendar app settings. For Tact on Android, events are pulled in from Exchange (as well as your other connected calendars) and displayed in Tact.
Here is an illustration of how it works:
For more details on how to connect your calendar please see this article, How to set up calendars in Tact for Android