Add RAIntegration event handler

Some refactoring done to hardcore toggling so that it's more readily available for the toggle hardcore event.

Source/Core/DolphinQt/Achievements/AchievementSettingsWidget.cpp

@@ -34,10 +34,6 @@ AchievementSettingsWidget::AchievementSettingsWidget(QWidget* parent) : QWidget(
 
   connect(&Settings::Instance(), &Settings::ConfigChanged, this,
           &AchievementSettingsWidget::LoadSettings);
-
-  // If hardcore is enabled when the emulator starts, make sure it turns off what it needs to
-  if (Config::Get(Config::RA_HARDCORE_ENABLED))
-    UpdateHardcoreMode();
 }
 
 void AchievementSettingsWidget::UpdateData(int login_failed_code)
@@ -259,7 +255,6 @@ void AchievementSettingsWidget::ToggleRAIntegration()
     instance.Init(reinterpret_cast<void*>(winId()));
   else
     instance.Shutdown();
-  UpdateHardcoreMode();
 }
 
 void AchievementSettingsWidget::Login()
@@ -297,7 +292,6 @@ void AchievementSettingsWidget::ToggleHardcore()
     }
   }
   SaveSettings();
-  UpdateHardcoreMode();
 }
 
 void AchievementSettingsWidget::ToggleUnofficial()
@@ -327,14 +321,4 @@ void AchievementSettingsWidget::ToggleProgress()
   SaveSettings();
 }
 
-void AchievementSettingsWidget::UpdateHardcoreMode()
-{
-  if (Config::Get(Config::RA_HARDCORE_ENABLED))
-  {
-    Settings::Instance().SetDebugModeEnabled(false);
-  }
-  emit Settings::Instance().EmulationStateChanged(Core::GetState(Core::System::GetInstance()));
-  emit Settings::Instance().HardcoreStateChanged();
-}
-
 #endif  // USE_RETRO_ACHIEVEMENTS

Source/Core/DolphinQt/Achievements/AchievementSettingsWidget.h

@@ -39,8 +39,6 @@ private:
   void ToggleDiscordPresence();
   void ToggleProgress();
 
-  void UpdateHardcoreMode();
-
   QGroupBox* m_common_box;
   QVBoxLayout* m_common_layout;
   ToolTipCheckBox* m_common_integration_enabled_input;

Source/Core/DolphinQt/Achievements/AchievementsWindow.cpp

@@ -39,8 +39,6 @@ AchievementsWindow::AchievementsWindow(QWidget* parent) : QDialog(parent)
       });
   connect(&Settings::Instance(), &Settings::EmulationStateChanged, this,
           [this] { m_settings_widget->UpdateData(RC_OK); });
-  connect(&Settings::Instance(), &Settings::HardcoreStateChanged, this,
-          [this] { AchievementsWindow::UpdateData({.all = true}); });
 }
 
 void AchievementsWindow::showEvent(QShowEvent* event)