Snipping Tool: Prompt user how to save after capturing region

### Description of the new feature / enhancement

After capturing a screenshot, it should ask you whether you want to save it to a default directory, save as (prompt user where to save and under what name through file explorer) or copy to clipboard (which will avoid thousands of screenshots piling up in your folder in the long run as these are only saved to the clipboard and never downloaded to your pictures folder)

### Scenario when this would be used?

Screenshotting is essential when it comes to every function, especially those visually inclined or that need to communicate issues regarding frontend design. For me it would save me so much hours from having to manually clean my Screenshots folder if I could... a) decide when I want to save the file permanently and where) and b) organize them into subfolders so I am not having to sort through a folder of thousands of screenshots at the end of the week.

### Supporting information

_No response_

The issue concerns the Snipping Tool capture flow, but it names no files, tests, or code entry points. Start by locating where captured regions are currently saved, then define the user flow for a default save, Save As, and clipboard-only choice; done means the prompt reliably offers those choices and each destination behaves as described.

Written by the indexing model from the issue text.