When reducing the number of Connecter Controllers, keep the one clicked if it was not the last one of the list

* Improvement in Directory Path Detection for Shortcuts

This pull request updates how the directory path for shortcuts is determined. The main changes are:

1. Replaced the use of environment variables to determine the path of the desktop and applications menu with `QStandardPaths::writableLocation`. This change addresses an issue where the desktop path was not correctly identified when its location was customized, as shown in the attached screenshot.

2. Added conversion from `QString` to `std::string` using `toUtf8()`, which correctly handles non-ASCII characters in directory paths. This change ensures that directory paths containing Portuguese words like "Área de trabalho" are supported.

3. Replaced directory checking using `Common::FS::IsDir()` with `QDir::exists()`.

These changes should improve cross-platform compatibility and code robustness. Because it couldn't locate my desktop, which wasn't on the C drive, but on the F, and even though localization wouldn't work because it was setting it to find the 'Desktop' folder and in the computer's language it says 'Área de trabalho', that will fix for other languages too.

* Update main.cpp

* formatting

* Update src/yuzu/main.cpp

Co-authored-by: Tobias <thm.frey@gmail.com>

* Update src/yuzu/main.cpp

Co-authored-by: Tobias <thm.frey@gmail.com>

* Update main.cpp

* Update main.cpp

* Update main.cpp

desktopPath > desktop_Path
applicationsPath > applications_Path

* Update main.cpp

* formatting

* Update main.cpp

This code will attempt to use QStandardPaths to find the applications directory. If that fails, it will resort to using the ~/.local/share/applications directory, which is a common location for application shortcuts in Linux.

* Update main.cpp

* formatting

---------

Co-authored-by: Tobias <thm.frey@gmail.com>

Allows creating desktop shortcuts with icons for yuzu games.

Co-Authored-By: Jeroen van Schijndel <13182141+roenyroeny@users.noreply.github.com>

Seemed like a good time to move these over.
Also remove usage of std::sto{l,ll,ul,f,d}

Used by the Super Mairo 3D All-Stars collection.

Otherwise caused a blue Vulkan badge to appear in the status bar.

Small optimization.

The VSync combobox wouldn't populate if there was no Vulkan device,
which caused issues with trying to set VSync on other backends.

This also adds another layer to GetCurrentGraphicsBackend to check for
broken Vulkan and return OpenGL instead of Vulkan.

And fix a bunch of warnings

fixes: #11236

Fixes updates and DLC not being loaded when launching yuzu from the command line.

Similar to https://github.com/yuzu-emu/yuzu/pull/11357.
Fixes https://github.com/yuzu-emu/yuzu/issues/8352,

This was a regression from https://github.com/yuzu-emu/yuzu/pull/1837.

Fixes https://github.com/yuzu-emu/yuzu/issues/1938.

Old Clang is fussy about this.

Allows some special interactions with it in the Qt frontend.