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I do the same. Its very easy today with portable devices and plentiful mobile data. I have my personal phone and personal laptop, connected to mobile data, for lunch breaks or the odd search I need to do during the workday. My work laptop and associated accounts are strictly for work activities and information.

Edit: From what my employer has explained, they do not have a live-view of our workstations. They can (and have) changed Google Workspace or Microsoft account passwords in order to access the accounts for internal investigations or sharing in the case of a criminal investigation. Of course, once they have the work device they could do forensics on the work device. They also have security logs from badges and alarm codes and video from security cameras in public areas.