[qt_common] reorg + checkstate abstraction (#2735)

no diff. in functionality, just confirm builds on ubuntu 24.04/debian 12

Signed-off-by: crueter <crueter@eden-emu.dev>

Reviewed-on: https://git.eden-emu.dev/eden-emu/eden/pulls/2735

src/yuzu/configuration/input_profiles.h

@@ -9,7 +9,7 @@
 #include <string>
 #include <unordered_map>
 
-#include "qt_common/qt_config.h"
+#include "qt_common/config/qt_config.h"
 
 namespace Core {
 class System;