## Summary
- Converts `HouseGumpAOS` from legacy `Gump` to `DynamicGump` with a private constructor and the static `DisplayTo` entry-point pattern.
- `AddPageButton`, `AddButtonLabeled`, and `AddList` helpers now write directly to the `DynamicGumpBuilder` via `ref` parameters.
- All internal re-display calls and the `HouseSign` / `ConfirmResizeHouseGump` callers route through `HouseGumpAOS.DisplayTo`.
- Field naming updated to underscore-prefix convention (`_house`, `_page`, `_from`, `_list`, `_hangerNumbers`, `_foundationNumbers`, `_postNumbers`, `_houseSigns`).
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