Sort and force grouping of includes (#4172)

This change enforces strict include grouping using IncludeCategories

In addition to adding this to the .clang-format file and applying it in the tests/src and src directories, I also did the following small changes:

    In ChatterSet.hpp, I changed lrucache to a <>include
    In Irc2.hpp, I change common/SignalVector.hpp to a "project-include"
    In AttachedWindow.cpp, NativeMessaging.cpp, WindowsHelper.hpp, BaseWindow.cpp, and StreamerMode.cpp, I disabled clang-format for the windows-includes
    In WindowDescriptors.hpp, I added the missing vector include. It was previously not needed because the include was handled by another file that was previously included first.
    clang-format minimum version has been bumped, so Ubuntu version used in the check-formatting job has been bumped to 22.04 (which is the latest LTS)

src/widgets/AttachedWindow.cpp

@@ -1,23 +1,26 @@
 #include "AttachedWindow.hpp"
 
 #include "Application.hpp"
-#include "ForwardDecl.hpp"
 #include "common/QLogging.hpp"
+#include "ForwardDecl.hpp"
 #include "singletons/Settings.hpp"
 #include "util/DebugCount.hpp"
 #include "widgets/splits/Split.hpp"
 
 #include <QTimer>
 #include <QVBoxLayout>
+
 #include <memory>
 
 #ifdef USEWINSDK
+// clang-format off
 #    include "util/WindowsHelper.hpp"
 
 #    include "Windows.h"
 // don't even think about reordering these
 #    include "Psapi.h"
 #    pragma comment(lib, "Dwmapi.lib")
+// clang-format on
 #endif
 
 namespace chatterino {