Remove pause callbacks from coretiming

src/audio_core/renderer/system_manager.h

@@ -73,13 +73,6 @@ private:
      */
     std::optional<std::chrono::nanoseconds> ThreadFunc2(s64 time);
 
-    /**
-     * Callback from core timing when pausing, used to detect shutdowns and stop ThreadFunc.
-     *
-     * @param paused - Are we pausing or resuming?
-     */
-    void PauseCallback(bool paused);
-
     enum class StreamState {
         Filling,
         Steady,
@@ -106,8 +99,6 @@ private:
     std::shared_ptr<Core::Timing::EventType> thread_event;
     /// Atomic for main thread to wait on
     std::atomic<bool> update{};
-    /// Current state of the streams
-    StreamState state{StreamState::Filling};
 };
 
 } // namespace AudioCore::AudioRenderer