You can also make this the default when you press "Print" on your keyboard. Go to Windows settings and search for "screenshot". It's so hard to discover -.-
I teach college. I did an assignment where I had students do a little tutorial and submit a screenshot as proof. After so many submitted pics of their screen they took with their phone, I told them about the built in snipping tool in windows (and there's one in macos, too). It blew the minds of many of them.
I'm not a teacher but I totally feel you. Everytime I see someone take a screenshot using their phone, I cringe. Especially when it's a developer who should know better. And especially when they could have simply copied the source code as text, which would have enabled me to copy and run it instantly.
Win+Print automatically saves a screenshot to the "Pictures\Screenshots" folder by the way.
Funnily enough I was aware of that one. :) But Win+Shift+S is a perfect replacement for what I have been doing for a long while, pressing PrintScreen (without Win key), pasting into some graphics application and then copying a selection of the screenshot, just to paste into yet another application.
Another nice tip is Alt+PrtScr which copies just an image of the focused window.
This is definitely a nice built-in tool. I still find ShareX to be a bit more flexible and fit my workflow better, but this is great for getting screenshots from other people.