Software apps in Linux are sandboxes and unless they have API to other apps on the system, they can’t see or interact with each other. I’m not aware of the Prisma browser but Palo Alto Networks is a security business, we use one of their firewalls. It’s quirky but has cool features. I’ll have to look at that browser.
But the only thing that they can get for your computer should be the browser statistics which includes your os other basic information.