[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_out_manager.cpp

@@ -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
 
@@ -40,8 +43,7 @@ void Manager::ReleaseSessionId(const size_t session_id) {
 Result Manager::LinkToManager() {
     std::scoped_lock l{mutex};
     if (!linked_to_manager) {
-        AudioManager& manager{system.AudioCore().GetAudioManager()};
-        manager.SetOutManager(std::bind(&Manager::BufferReleaseAndRegister, this));
+        system.AudioCore().GetAudioManager().SetOutManager(std::bind(&Manager::BufferReleaseAndRegister, this));
         linked_to_manager = true;
     }