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)

tests/src/HighlightController.cpp

@@ -4,16 +4,16 @@
 #include "BaseSettings.hpp"
 #include "messages/MessageBuilder.hpp"  // for MessageParseArgs
 #include "mocks/UserData.hpp"
-#include "providers/twitch/TwitchBadge.hpp"  // for Badge
 #include "providers/twitch/api/Helix.hpp"
+#include "providers/twitch/TwitchBadge.hpp"  // for Badge
 
+#include <boost/optional/optional_io.hpp>
 #include <gmock/gmock.h>
 #include <gtest/gtest.h>
 #include <QDebug>
 #include <QDir>
 #include <QFile>
 #include <QString>
-#include <boost/optional/optional_io.hpp>
 
 using namespace chatterino;
 using ::testing::Exactly;