(Cleanup) Fix logger obsolete warnings (#40553)

* Switched obsolete logger usages to use Sawmill

Fix the majority of obsolete logger usages outside the engine code.

* Fix injection in ChatManager and revert BuildMech changes

* Removed extra manual injection

* Reduced extra static injection and reverted changes to CommandButton as it needs engine changes.

* Removed two more cases of double injection and an extra using

* Reverted changes for Inventory Display

* Moved sawmill setup outside constructor in Table to resolve test failure

Content.Client/Administration/UI/Notes/AdminNotesLine.xaml.cs

@@ -14,6 +14,9 @@ namespace Content.Client.Administration.UI.Notes;
 [GenerateTypedNameReferences]
 public sealed partial class AdminNotesLine : BoxContainer
 {
+    [Dependency] private readonly ILogManager _logManager = default!;
+
+    private readonly ISawmill _sawmill = default!;
     private readonly SpriteSystem _sprites;
 
     private const string AdminNotesTextureBase = "/Textures/Interface/AdminNotes/";
@@ -33,6 +36,8 @@ public sealed partial class AdminNotesLine : BoxContainer
     public AdminNotesLine(SpriteSystem sprites, SharedAdminNote note)
     {
         RobustXamlLoader.Load(this);
+
+        _sawmill = _logManager.GetSawmill("admin.notes");
         _sprites = sprites;
 
         Note = note;
@@ -61,7 +66,7 @@ public sealed partial class AdminNotesLine : BoxContainer
         if (iconPath is null)
         {
             SeverityRect.Visible = false;
-            Logger.WarningS("admin.notes", $"Could not find an icon for note ID {Note.Id}");
+            _sawmill.Warning($"Could not find an icon for note ID {Note.Id}");
         }
         else
         {