Final answer:
GoGuardian can monitor screen activity in incognito mode if it's installed on your device or if you're using a school-managed account. Incognito mode does not prevent such monitoring, only stores less information on the local device.
Step-by-step explanation:
Yes, GoGuardian software can monitor your screen activity even when you are in incognito mode if it has been installed on your device or if you're logged into your school account. If your school's IT department has set up the GoGuardian extension on the school-managed accounts, then it likely has the ability to monitor the browsing activity associated with those accounts, regardless of whether the browsing is done in incognito mode or not.
The intended purpose of the incognito mode is to prevent browsing history and cookies from being stored on your device, not to shield your activity from school administrators or network monitoring tools like GoGuardian. Therefore, if you're using a school-issued device or account, it is important to assume that your internet activity could be monitored.