feat(viewer): add MyPageBgSelectType + MyPageBgId scalars + MyPageBgRotation owned collection

Adds BGType persistence (0=Deck/1=CustomBG/2=RandomBG) to Viewer via two scalar
columns and an owned collection keyed (ViewerId, Slot). Two persistence tests
confirm round-trip and zero-defaults on fresh viewers.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

SVSim.Database/Models/MyPageBgRotationEntry.cs

@@ -0,0 +1,16 @@
+using Microsoft.EntityFrameworkCore;
+
+namespace SVSim.Database.Models;
+
+/// <summary>
+/// One row per (viewer, slot) in the viewer's saved MyPage BG rotation pool. The client posts
+/// the full pool on every <c>/user_mypage/update</c> regardless of mode, so the server overwrites
+/// it atomically each time. Slot is the 0-based position; order is preserved for the
+/// <c>/mypage/index</c> echo.
+/// </summary>
+[Owned]
+public class MyPageBgRotationEntry
+{
+    public int Slot { get; set; }
+    public int BgId { get; set; }
+}

SVSim.Database/Models/Viewer.cs

@@ -33,6 +33,12 @@ public class Viewer : BaseEntity<long>
     
     public DateTime LastLogin { get; set; }
 
+    /// <summary>BGType enum: 0=Deck, 1=CustomBG, 2=RandomBG. Default 0 = follow equipped deck's leader skin.</summary>
+    public int MyPageBgSelectType { get; set; }
+
+    /// <summary>The single chosen MyPageBG cosmetic id, used when SelectType=CustomBG. 0 = none.</summary>
+    public int MyPageBgId { get; set; }
+
     #region Owned
 
     public ViewerInfo Info { get; set; } = new ViewerInfo();
@@ -67,6 +73,8 @@ public class Viewer : BaseEntity<long>
 
     public List<ViewerFreePackClaim> FreePackClaims { get; set; } = new List<ViewerFreePackClaim>();
 
+    public List<MyPageBgRotationEntry> MyPageBgRotation { get; set; } = new List<MyPageBgRotationEntry>();
+
     public List<ViewerGachaPointBalance> GachaPointBalances { get; set; } = new List<ViewerGachaPointBalance>();
 
     public List<ViewerGachaPointReceived> GachaPointReceived { get; set; } = new List<ViewerGachaPointReceived>();

SVSim.Database/SVSimDbContext.cs

@@ -172,6 +172,12 @@ public class SVSimDbContext : DbContext
             b.HasKey("ViewerId", nameof(ViewerFreePackClaim.FreeGachaCampaignId));
             b.Property(x => x.FreeGachaCampaignId).ValueGeneratedNever();
         });
+        modelBuilder.Entity<Viewer>().OwnsMany(v => v.MyPageBgRotation, b =>
+        {
+            b.WithOwner().HasForeignKey("ViewerId");
+            b.HasKey("ViewerId", nameof(MyPageBgRotationEntry.Slot));
+            b.Property(x => x.Slot).ValueGeneratedNever();
+        });
 
         // OwnedCardEntry and OwnedItemEntry use composite PK (ViewerId, Id) where Id is auto-
         // generated, which silently permits multiple rows per (Viewer, Card) or (Viewer, Item).