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/Common.hpp

@@ -1,16 +1,17 @@
 #pragma once
 
-#include <QString>
-#include <QWidget>
-#include <boost/optional.hpp>
-#include <boost/preprocessor.hpp>
-#include <memory>
-#include <string>
-
 #include "common/Aliases.hpp"
 #include "common/Outcome.hpp"
 #include "common/ProviderId.hpp"
 
+#include <boost/optional.hpp>
+#include <boost/preprocessor.hpp>
+#include <QString>
+#include <QWidget>
+
+#include <memory>
+#include <string>
+
 namespace chatterino {
 
 enum class HighlightState {