[common/logging] Simplify logging logic and fix issues when logging before system is created (#3688)

- our logging code was bigger than spdlog itself, why???? just keep it simple
- fix issues when logging before logging system is even started
- removes the "initialized logging twice" issue
- removes uneeded indirection in file logging
- uses direct formatting instead of jumping hoopla-around the fmt::format() ressult
- code duplication and dead code removal as usual

I did explore dup2() but I think it's not worth the hassle
I did try `fwopen()` but it's better if things are just kept as-is.

there is a lot of noise because I removed a bunch of redundant files on logging and just put everything in one file

now normally this wouldn't be a good idea, however consider: the complexity of logging; it's less than 500 lines... does it really need a whole subsystem?!?!?! ITS JUST LOGGING

Signed-off-by: lizzie <lizzie@eden-emu.dev>
Reviewed-on: https://git.eden-emu.dev/eden-emu/eden/pulls/3688
Reviewed-by: crueter <crueter@eden-emu.dev>
Reviewed-by: DraVee <chimera@dravee.dev>
Reviewed-by: CamilleLaVey <camillelavey99@gmail.com>
Co-authored-by: lizzie <lizzie@eden-emu.dev>
Co-committed-by: lizzie <lizzie@eden-emu.dev>

1 files changed, 2 insertions, 2 deletions

diff --git a/src/core/game_settings.cpp b/src/core/game_settings.cpp
index da1530e026..745eae1908 100644
--- a/src/core/game_settings.cpp
+++ b/src/core/game_settings.cpp
@@ -1,4 +1,4 @@
-// SPDX-FileCopyrightText: Copyright 2025 Eden Emulator Project
+// SPDX-FileCopyrightText: Copyright 2026 Eden Emulator Project
 // SPDX-License-Identifier: GPL-3.0-or-later
 
 #include "core/game_settings.h"
@@ -6,7 +6,7 @@
 #include <algorithm>
 #include <cctype>
 
-#include "common/logging/log.h"
+#include "common/logging.h"
 #include "common/settings.h"
 #include "video_core/renderer_base.h"