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/singletons/Updates.cpp

@@ -1,10 +1,11 @@
 #include "Updates.hpp"
 
-#include "Settings.hpp"
 #include "common/Modes.hpp"
 #include "common/NetworkRequest.hpp"
 #include "common/Outcome.hpp"
+#include "common/QLogging.hpp"
 #include "common/Version.hpp"
+#include "Settings.hpp"
 #include "singletons/Paths.hpp"
 #include "util/CombinePath.hpp"
 #include "util/PostToThread.hpp"
@@ -13,7 +14,6 @@
 #include <QMessageBox>
 #include <QProcess>
 #include <QRegularExpression>
-#include "common/QLogging.hpp"
 
 namespace chatterino {
 namespace {