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/common/NetworkPrivate.cpp

@@ -3,6 +3,7 @@
 #include "common/NetworkManager.hpp"
 #include "common/NetworkResult.hpp"
 #include "common/Outcome.hpp"
+#include "common/QLogging.hpp"
 #include "debug/AssertInGuiThread.hpp"
 #include "singletons/Paths.hpp"
 #include "util/DebugCount.hpp"
@@ -12,7 +13,6 @@
 #include <QFile>
 #include <QNetworkReply>
 #include <QtConcurrent>
-#include "common/QLogging.hpp"
 
 namespace chatterino {