That's right, cmd+shift+V pastes without formatting. And there's also a context menu option for that.

Just yesterday I noticed that if you do "paste text only" when pasting a URL in Outlook, the link is no longer clickable, just a string of text. Maybe it would turn into a clickable link by the time the email reaches its recipient, who knows. But I ended up doing the "paste into notepad and re-copy" thing.

Normally I also use the address bar, but these days if you copy-paste a web address from Edge to Outlook/Teams, it won't show up as the URL itself but the page's title as a hyperlink.