How can you print directly from the screenshot app?

When I take a screenshot (COMMAND+SHIFT + 3, 4, or 5) and click on the little thumbnail in the corner to edit the picture, is there a way to just send it to the printer?

One article I found online claims that I can print from the screenshot app itself using the menu (I don't see any menu bar) or COMMAND P (does not work for me), so that was not helpful.

I also tried the little button that normally sends your stuff to various places, like messages, notes, etc. Sending it to a printer is not a listed option and I could not find it under "more..." either.

The only thing I have found is saving it as a file, then opening it with Preview and then printing it. (Also I have not found a way of copying the picture to the clipboard, except retaking the screenshot with a new setting to send it to the clipboard, but that's secondary to my issue)

Am I doing something wrong? Or is this normal? If normal, can someone recommend a more useful app for screenshots?

Thanks!