Execute clang tidy and IWYU (#528)

examples/component/button_style.cpp

examples/component/custom_loop.cpp

examples/component/focus_cursor.cpp

examples/component/homescreen.cpp

examples/component/maybe.cpp

examples/component/menu_style.cpp

examples/component/menu_underline_animated_gallery.cpp

examples/dom/gauge.cpp

examples/dom/gauge_direction.cpp

examples/dom/hflow.cpp

examples/dom/html_like.cpp

examples/dom/package_manager.cpp

examples/dom/vflow.cpp

include/ftxui/component/event.hpp

iwyu.imp

src/ftxui/component/animation.cpp

src/ftxui/component/button.cpp

src/ftxui/component/button_test.cpp

src/ftxui/component/catch_event.cpp

src/ftxui/component/checkbox.cpp