The first nag was on the google.com/chrome download page. Edge/Windows injects a toast message in the corner nagging you that "We're the same as Chrome, but you can trust us!" The only button takes you out of the Chrome download page while they play "Hide the close button" in the system dialog.
"With the added trust of Microsoft". Oh, fuck off! I'm not using Microsoft anything because I want to let alone because I trust them. In this case, it's because the shitty software vendor only develops for Windows. And in other people's cases, it's because it's the OS that came with the PC or corporate IT mandates it.
Edge's whole fucking shtick is "AI Powered Browser" which, by it's very fucking nature, sucks up every bit of information it can and feeds it back to the mothership. That's on top of the default Edge experience assaulting your senses with every fucking thing in the world crammed onto the new tab page. The default new tab page looks like what your grandma's computer in the mid 2010s looked like when it was infested with every adware/toolbar ever made.
The second nag was when you go to set anything but Edge as the default browser. The action you went there to perform demoted to a tiny secondary link.
Just goes to show: if you can't compete and provide something people want, just abuse your position to trick people into sticking with your garbage.
Note: I'm not defending Chrome here, but it's a hell of a lot less shitty than Edge and is the only other approved browser in my org.
"with the added trust of Microsoft" - ROFL