Open Goldenrod City, Whitney's gym and the Radio Tower quiz (#32)

Enable Goldenrod City and its buildings, the department store with its
elevator and rooftop, the Underground and its rooms, the Radio Tower
floors and the Route 35 gate.

Port what their scripts need: the herb shop, bargain shop, pharmacy and
rooftop sale marts with ROM stock, prices and text; the Name Rater; the
haircut brothers' happiness tables; the Lucky Number show over the party
and boxes with its saved number and Friday countdown (RTC day timers with
the 140-day wrap); coin and money balance boxes; Game Corner prize
registration through NewPokedexEntry; gift Pokémon to the box when the
party is full, with OT, nickname and MAIL (Kenya's 15-letter first line
now stores). Saves gain hallOfFame, timers and luckyNumber, with
defaults for older saves, and wUndergroundSwitchPositions joins the
saved script bytes.

The playthrough continues to the Bicycle, Whitney, the PLAINBADGE and the
radio card. SlotMachine and CardFlip are still refused.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

docs/NATIVE_PORT.md

@@ -45,6 +45,8 @@ These paths refer to the pinned [PRET source](https://github.com/pret/pokecrysta
 | `game/scripts/screen.ts`, `game/rendering/tile-screen.ts`, `game/rom/font.ts` | `home/tilemap.asm`, `engine/gfx/load_font.asm` (`_LoadStandardFont`, `LoadFrame`) | Tile screens: a 20x18 tilemap with background palettes and sprites over it, built by a minigame or special from ROM graphics and answered with buttons. Blinking sprites follow bit 4 of the frame counter. Overlay screens (a menu box) leave the map visible around them. The standard font and the option's textbox frame load as 2bpp tiles. |
 | `game/scripts/unown-puzzle.ts`   | `engine/games/unown_puzzle.asm`, `engine/events/specials.asm` (`UnownPuzzle`), `engine/gfx/cgb_layouts.asm` (`_CGB_UnownPuzzle`) | `_UnownPuzzle`: `InitUnownPuzzlePiecePositions` with Random, the d-pad rules, picking up and placing pieces, `CheckSolvedUnownPuzzle`, and the graphics (`ConvertLoadedPuzzlePieces`' doubling, the piece borders, the cursor and START/CANCEL, the OAM layouts) and palettes from the ROM. Sounds are not played. |
 | `game/scripts/ruins.ts`          | `engine/events/unown_walls.asm`, `data/events/unown_walls.asm` | `DisplayUnownWords` as an overlay screen with the chamber tileset's Unown letters, `HoOhChamber` and `OmanyteChamber`. |
+| `game/scripts/goldenrod.ts`, `game/world/day-timers.ts` | `engine/events/name_rater.asm`, `haircut.asm`, `lucky_number.asm`, `engine/overworld/time.asm`, `engine/menus/intro_menu.asm` | Name Rater ownership checks, ROM haircut happiness tables, Lucky Number party and box matching with first-winner ties, saved number and Friday countdown with 140-day rollover. |
+| Goldenrod shops, gifts and prizes | `engine/items/mart.asm`, `engine/pokemon/move_mon.asm` (`GivePoke`), `engine/events/specials.asm` (`GameCornerPrizeMonCheckDex`), `engine/pokedex/new_pokedex_entry.asm` | All five mart types, gift OT/nickname and MAIL, full-party gifts to the box, coin commands and balance boxes, and first-owned prize registration with two A/B pages. Boxed gifts approximate an unspecified stale enemy held item as zero. SlotMachine and CardFlip remain refused. |
 | Text interpreter                 | `macros/scripts/text.asm`, `constants/charmap.asm`, `home/text.asm`                                                            | Literal/far text, RAM names and string buffers from native state, numbers of dots, and sound or pause cues (consumed). `text_asm` and other RAM reads are refused.                                                                      |
 
 Supported event opcodes are explicit in the interpreter switch. Audio commands consume their operands, but sound sequencing is pending; those opcodes do not imply complete audiovisual behavior. `pause` holds the current text or waits the original number of overworld ticks.