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/controllers/notifications/NotificationController.cpp

@@ -5,9 +5,9 @@
 #include "common/Outcome.hpp"
 #include "common/QLogging.hpp"
 #include "controllers/notifications/NotificationModel.hpp"
+#include "providers/twitch/api/Helix.hpp"
 #include "providers/twitch/TwitchIrcServer.hpp"
 #include "providers/twitch/TwitchMessageBuilder.hpp"
-#include "providers/twitch/api/Helix.hpp"
 #include "singletons/Toasts.hpp"
 #include "singletons/WindowManager.hpp"
 #include "util/Helpers.hpp"
@@ -21,6 +21,7 @@
 #include <QDir>
 #include <QMediaPlayer>
 #include <QUrl>
+
 #include <unordered_set>
 
 namespace chatterino {