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/main.cpp

@@ -1,22 +1,23 @@
-#include <QApplication>
-#include <QCommandLineParser>
-#include <QMessageBox>
-#include <QStringList>
-#include <memory>
-
 #include "BrowserExtension.hpp"
-#include "RunGui.hpp"
 #include "common/Args.hpp"
 #include "common/Modes.hpp"
 #include "common/QLogging.hpp"
 #include "common/Version.hpp"
 #include "providers/IvrApi.hpp"
 #include "providers/twitch/api/Helix.hpp"
+#include "RunGui.hpp"
 #include "singletons/Paths.hpp"
 #include "singletons/Settings.hpp"
 #include "util/AttachToConsole.hpp"
 #include "util/IncognitoBrowser.hpp"
 
+#include <QApplication>
+#include <QCommandLineParser>
+#include <QMessageBox>
+#include <QStringList>
+
+#include <memory>
+
 using namespace chatterino;
 
 int main(int argc, char **argv)