InputCommon / DolphinQt / Core: Add a "RelativeMouse" input which provides the raw delta mouse input

Co-authored-by: Jordan Woyak <[email protected]>

Source/Core/DolphinQt/HotkeyScheduler.cpp

@@ -141,8 +141,8 @@ void HotkeyScheduler::Run()
   {
     Common::SleepCurrentThread(1000 / 60);
 
-    if (Core::GetState() == Core::State::Uninitialized || Core::GetState() == Core::State::Paused)
-      g_controller_interface.UpdateInput();
+    g_controller_interface.SetCurrentInputChannel(ciface::InputChannel::Host);
+    g_controller_interface.UpdateInput();
 
     if (!HotkeyManagerEmu::IsEnabled())
       continue;