We've reorganized the in-call tooltip experience to appear on click instead of hover (no more accidental clicks!) and have additional options. You can click to join someone's website or request screenshare by clicking on the app icon (e.g. Github) to the right of their name.
In addition, in your own user tooltip, you'll see options for temporarily disabling your self-video, screenshare, self-crosstalk (which turns down audio of everyone else), and sharing your current link (even non-work links are supported)