Yeah automatically assume everything on your work computer is available for your employer to see. And everything you do on your own device when connected to their WiFi or VPN.
unless you're in a jurisdiction that has anti-surveillance workplace laws, which if you don't should probably think about before Mark Zuckerberg gets the idea to monitor to your body temperature from below the waistline
without a doubt liberty and privacy don't seem to be particularly high up on the list of priorities in the land of the free. Although if the American founders had 24/7 surveilled, compliant, worker drones at mega corporations in mind for an extra check might be worth pondering
If anyone can fingerprint your personal device while literally inside the building, it is Facebook.
You don’t even need any to do something fancy in software. Could just be correlating mobile device presence with work laptop activity. Can triangulate physical location with a handful of Bluetooth or WiFi beacons.
You can browser personal accounts from your phone.