feat(home-dialog): populate home_dialog_list on /mypage/index

Walk-down behavior: each call emits the highest-priority unfired
active dialog; subsequent calls walk to the next-priority entry.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

SVSim.EmulatedEntrypoint/Models/Dtos/Common/HomeDialog.cs

@@ -0,0 +1,37 @@
+using System.Text.Json.Serialization;
+using MessagePack;
+
+namespace SVSim.EmulatedEntrypoint.Models.Dtos.Common;
+
+/// <summary>
+/// One entry in /mypage/index data.home_dialog_list. Client parser
+/// (Wizard/MyPageHomeDialogData.cs) only reads [0]; up to 3 buttons supported
+/// (switch on 0/1/2/3 in MyPageHomeDialog.cs).
+/// </summary>
+[MessagePackObject]
+public class HomeDialog
+{
+    /// <summary>Wire "type" — prod sends "1"; client parser ignores it. Stringly-typed.
+    /// Null is omitted by the global WhenWritingNull policy.</summary>
+    [JsonPropertyName("type")]           [Key("type")]           public string? Type { get; set; }
+
+    /// <summary>Localization key resolved client-side via Data.SystemText.Get.</summary>
+    [JsonPropertyName("title_text_id")]  [Key("title_text_id")]  public string TitleTextId { get; set; } = string.Empty;
+
+    /// <summary>Asset name resolved via ResourcesManager.AssetLoadPathType.UiDownLoad.</summary>
+    [JsonPropertyName("image")]          [Key("image")]          public string Image { get; set; } = string.Empty;
+
+    [JsonPropertyName("button_list")]    [Key("button_list")]    public List<HomeDialogButtonDto> ButtonList { get; set; } = new();
+}
+
+[MessagePackObject]
+public class HomeDialogButtonDto
+{
+    [JsonPropertyName("button_text_id")] [Key("button_text_id")] public string ButtonTextId { get; set; } = string.Empty;
+
+    /// <summary>Scene id consumed by MyPageBannerBase.SceneChangeBySetting (e.g. "card_pack", "mission").</summary>
+    [JsonPropertyName("scene")]          [Key("scene")]          public string Scene { get; set; } = string.Empty;
+
+    /// <summary>Contextual id passed to the scene (e.g. parent_gacha_id "80032"). Stringly-typed on the wire.</summary>
+    [JsonPropertyName("status")]         [Key("status")]         public string Status { get; set; } = string.Empty;
+}

SVSim.EmulatedEntrypoint/Models/Dtos/Responses/MyPageIndexResponse.cs

@@ -123,7 +123,7 @@ public class MyPageIndexResponse
 
     [JsonPropertyName("home_dialog_list")]
     [Key("home_dialog_list")]
-    public List<object> HomeDialogList { get; set; } = new();
+    public List<Common.HomeDialog> HomeDialogList { get; set; } = new();
 
     // ── Room type in session (Special-format windows) ──────────────────────