Refactor Logging Impl

Loop on stop_token and remove final_entry in Entry.
Move Backend thread out of Impl Constructor to its own function.
Add Start function for backend thread.
Use stop token in PopWait and check if entry filename is nullptr before logging.

src/citra/citra.cpp

@@ -178,6 +178,7 @@ static void OnStatusMessageReceived(const Network::StatusMessageEntry& msg) {
 int main(int argc, char** argv) {
     Common::Log::Initialize();
     Common::Log::SetColorConsoleBackendEnabled(true);
+    Common::Log::Start();
     Common::DetachedTasks detached_tasks;
     Config config;
     int option_index = 0;