[common] Replace Common::SpinLock with std::mutex (#4436)

`std::mutex` can be better than the spin-lock specially since we don't waste CPU cycles for no reason.

Test less stuttering/heat consumption.

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

- [x] I have read and followed the [Contribution Guidelines](https://git.eden-emu.dev/eden-emu/eden/src/branch/master/CONTRIBUTING.md#code-contributions).
- [x] I have read and followed the [AI Policy](https://git.eden-emu.dev/eden-emu/eden/src/branch/master/docs/policies/AI.md)
- [x] I have read and followed the [Coding Guidelines](https://git.eden-emu.dev/eden-emu/eden/src/branch/master/docs/policies/Coding.md) to the best of my ability.

-------------------

Reviewed-on: https://git.eden-emu.dev/eden-emu/eden/pulls/4436
Reviewed-by: CamilleLaVey <camillelavey99@gmail.com>
Reviewed-by: MaranBr <maranbr@eden-emu.dev>

src/common/CMakeLists.txt

@@ -110,7 +110,6 @@ add_library(
     socket_types.h
     sparse_large_vector.cpp
     sparse_large_vector.h
-    spin_lock.h
     stb.cpp
     stb.h
     steady_clock.cpp

src/common/spin_lock.h

@@ -1,50 +0,0 @@
-// SPDX-FileCopyrightText: Copyright 2025 Eden Emulator Project
-// SPDX-License-Identifier: GPL-3.0-or-later
-
-// SPDX-FileCopyrightText: Copyright 2020 yuzu Emulator Project
-// SPDX-License-Identifier: GPL-2.0-or-later
-
-#pragma once
-
-#ifdef _MSC_VER
-#include <intrin.h>
-#elif defined(ARCHITECTURE_x86_64)
-#include <xmmintrin.h>
-#endif
-#include <atomic>
-
-namespace Common {
-
-/// @brief A lock similar to mutex that forces a thread to spin wait instead calling the
-/// supervisor. Should be used on short sequences of code.
-struct SpinLock {
-    SpinLock() noexcept = default;
-    SpinLock(const SpinLock&) noexcept = delete;
-    SpinLock& operator=(const SpinLock&) noexcept = delete;
-    SpinLock(SpinLock&&) noexcept = delete;
-    SpinLock& operator=(SpinLock&&) noexcept = delete;
-
-    inline void lock() noexcept {
-        while (lck.test_and_set(std::memory_order_acquire)) {
-#if defined(ARCHITECTURE_x86_64)
-            _mm_pause();
-#elif defined(ARCHITECTURE_arm64) && defined(_MSC_VER)
-            __yield();
-#elif defined(ARCHITECTURE_arm64)
-            asm("yield");
-#endif
-        }
-    }
-
-    inline void unlock() noexcept {
-        lck.clear(std::memory_order_release);
-    }
-
-    [[nodiscard]] inline bool try_lock() noexcept {
-        return !lck.test_and_set(std::memory_order_acquire);
-    }
-
-    std::atomic_flag lck = ATOMIC_FLAG_INIT;
-};
-
-} // namespace Common