[video_core, hle] remove redundant parent references in system structs (#3908)

reworked a bit to remove references of parent objects and instead pass as arguments to methods to prevent useless reloads

Signed-off-by: lizzie <lizzie@eden-emu.dev>
Co-authored-by: maufeat <sahyno1996@gmail.com>
Reviewed-on: https://git.eden-emu.dev/eden-emu/eden/pulls/3908
Reviewed-by: Maufeat <sahyno1996@gmail.com>
Reviewed-by: crueter <crueter@eden-emu.dev>

src/audio_core/audio_manager.h

@@ -1,3 +1,6 @@
+// SPDX-FileCopyrightText: Copyright 2026 Eden Emulator Project
+// SPDX-License-Identifier: GPL-3.0-or-later
+
 // SPDX-FileCopyrightText: Copyright 2022 yuzu Emulator Project
 // SPDX-License-Identifier: GPL-2.0-or-later
 
@@ -66,13 +69,6 @@ public:
     void SetEvent(Event::Type type, bool signalled);
 
 private:
-    /**
-     * Main thread, waiting on a manager signal and calling the registered function.
-     */
-    void ThreadFunc();
-
-    /// Is the main thread running?
-    std::atomic<bool> running{};
     /// Unused
     bool needs_update{};
     /// Events to be set and signalled