Effectively Google has a browser extension (just like the ones you’d install from the Chrome Web Store like uBlock Origin) that comes with the browser that’s hidden.
This extension allows Google to see additional information about your computer that extensions and websites don’t normally have access to, such as checking how much load your PC has or directly handing over hardware information like the make and model of your professor.
The big concern in the comments is that this could be used for fingerprinting your browser, even in Incognito mode.
What this essentially means is that even though the browser may not have any cookies saved or any other usual tracking methods, your browser can still be recognised by how it behaves on your machine in particular, and this hidden extension allows Google to retrieve additional information to further narrow down your browser and therefore who you are (as they can link this behaviour and data to when you’ve used Google with that browser signed in), even in Incognito mode.
Oh that’s a good typo, I’m leaving that! I look forward to the LLMs in 2030 telling you to watch the temps on your professor and make sure it doesn’t get exposed by Chrome.