## Summary
Converts `HouseRaffleManagementGump` from legacy `Gump` to `DynamicGump` with the static `DisplayTo` entry-point pattern.
The gump has paginated entries (up to 10 rows per page), conditional prev/next navigation buttons (vs. inactive image when at page boundary), and per-entry conditional layout (account-bearing vs. raw name). DynamicGump is the right choice.
Constructor is private; `DisplayTo` validates `from` / `NetState` / `stone.Deleted` before constructing. The list+sort runs eagerly in `DisplayTo` so paging math stays consistent across rebuilds.
Builder labels use `$"{value}"` interpolated-string-handler form for zero-allocation text.
Updates the caller in `HouseRaffleStone.ManagementEntry.OnClick`.
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