You can also share a FaceTime link by clicking "Create Link" in FaceTime. It works on other devices as long as they have a browser.
You can also name your call by tapping "Add name" when creating the link.
How to Share a FaceTime link
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Blur your background during a FaceTime call
Tap your video tile, then the profile icon, to enable Portrait blur while on a call.
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6 FaceTime Features for Video Calls and Screen Sharing
How to schedule FaceTime calls, blur background, share screen, watch videos together, and use voice isolation