Preserve Last Known Window Position When Showing/Hiding Terminal

Nobody has claimed this yet.

### Description of the new feature

I would like to suggest adding the ability to preserve the window position of the terminal before it is closed or hidden, so that when reopened using hotkeys, it appears in exactly the same screen location where it was previously opened. Currently, upon re-opening with a hotkey, the terminal window automatically displays on the monitor which currently has input focus, making it inconvenient while working with applications that heavily rely on console output for debugging or monitoring processes.

An ideal solution would be an option allowing users to choose whether the terminal should remain at its original position or switch between monitors based on current input focus.

### Proposed technical implementation details

_No response_

Start by tracing the terminal window's hide, close, and hotkey reopen behavior in the C++ codebase; the issue does not name specific files or tests. Done means the terminal can preserve its last window position when reopened, with an option to instead use the monitor with input focus.

Written by the indexing model from the issue text.