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/widgets/helper/SearchPopup.cpp

@@ -1,9 +1,5 @@
 #include "SearchPopup.hpp"
 
-#include <QHBoxLayout>
-#include <QLineEdit>
-#include <QPushButton>
-
 #include "common/Channel.hpp"
 #include "controllers/hotkeys/HotkeyController.hpp"
 #include "messages/search/AuthorPredicate.hpp"
@@ -17,6 +13,10 @@
 #include "singletons/WindowManager.hpp"
 #include "widgets/helper/ChannelView.hpp"
 
+#include <QHBoxLayout>
+#include <QLineEdit>
+#include <QPushButton>
+
 namespace chatterino {
 
 ChannelPtr SearchPopup::filter(const QString &text, const QString &channelName,