Show UI Only to User (Hide During Screen Sharing on Zoom/Google Meet)

I have a Chrome extension built with React. I want to add a new feature:

When the user shares their screen (on online platforms like Googlemet, etc) the extension should still be visible and usable only to the user, but should not be visible to others watching the shared screen.

So basically, the extension should open and work normally, but be hidden from screen sharing.

In your proposal, please tell me:
Is this possible? Yes or No?
Have you built something like this before?
What method or technique would you use to do this?