Port the PC and boxes

Read TileCollisionStdScripts from the ROM so the Pokémon Center PC runs
PokemonCenterPC: Bill's PC (deposit, withdraw, release, change and name
boxes), the player's item storage (withdraw, deposit, toss, mail box) and
Oak's Pokédex rating. The house PC now opens the full player's PC menu.

A catch with a full party goes to the current box through SendMonIntoBox;
a full box keeps the ball, and filling it queues Bill's call as a memory
script after the battle. Saves gain boxes, box names and PC items,
migrated by absence.

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

docs/NATIVE_PORT.md

@@ -30,9 +30,10 @@ These paths refer to the pinned [PRET source](https://github.com/pret/pokecrysta
 | `game/world/world.ts`            | `engine/overworld/events.asm`, `player_movement.asm`, `warp_connection.asm`, `data/collision/collision_permissions.asm`        | 30 Hz overworld ticks, 8-tick walks, 16-tick ledge jumps, directional mats, animated door/stair exits, connection coordinates, events, scenes and callbacks. NPC random walks and spins follow `HandleNPCStep`. Forced movement, Surf, Cut, Strength, cycling rules, pits and elevators implemented. Fourteen reference traces compare turn timing, actors and event flags; map-entry boundaries verify the completed destination. Bicycle access uses the Key Items menu. |
 | Event interpreter                | `macros/scripts/events.asm`, `engine/overworld/scripting.asm`, `engine/events/std_scripts.asm`                                 | Resumable; yields text, choices, movement, emotes and pauses. Scenes, phone contacts, string buffers and object commands. Unknown commands and specials abort without committing.                                                       |
 | Movement interpreter             | `macros/scripts/movement.asm`, `engine/overworld/movement.asm`, `engine/overworld/map_objects.asm`                             | Turns, steps, slides, jumps (two tiles with the original arc), sleeps, facing locks, visibility and emotes. `follow` takes one tile toward the leader's previous square. All movement opcodes decode, including teleport, fishing, skyfall, shake and flicker poses; Controlled reference scenes check spin, teleport, skyfall, fishing and flicker direction, visibility and lift.                                                              |
-| Specials                         | `data/events/special_pointers.asm`, `engine/rtc/timeset.asm`, `engine/overworld/decorations.asm`                               | Selected by routine address from the ROM table: `SetDayOfWeek`, initial DST flags, `RestartMapMusic` (no audio yet), room decoration toggles, the decoration PC and Town Map, `HealParty`, `HealMachineAnim` (presentation only), `CheckPokerus` and the `StubbedTrainerRankings_Healings` stub.                                                                              |
+| Specials                         | `data/events/special_pointers.asm`, `engine/rtc/timeset.asm`, `engine/overworld/decorations.asm`                               | Selected by routine address from the ROM table: `SetDayOfWeek`, initial DST flags, `RestartMapMusic` (no audio yet), room decoration toggles, `PokemonCenterPC` and `PlayersHousePC` (Bill's, the player's and Oak's PCs), the Town Map, `HealParty`, `HealMachineAnim` (presentation only), `CheckPokerus` and the `StubbedTrainerRankings_Healings` stub.                                                                              |
+| `game/scripts/pc.ts`             | `engine/events/pokecenter_pc.asm`, `engine/pokemon/bills_pc_top.asm`, `engine/pokemon/bills_pc.asm`, `engine/events/prof_oaks_pc.asm`, `engine/events/std_collision.asm` | The Pokémon Center and house PCs: Bill's PC (deposit, withdraw, release, change and name boxes), item storage, the empty mail box and Oak's rating. Menu strings and texts come from the ROM; lists are native. Moving Pokémon, the stats screen and printing are not ported. |
 | `game/rom/pokemon.ts`            | `data/pokemon/base_stats`, `evos_attacks.asm`, `data/moves/moves.asm`, `data/items/attributes.asm`, `engine/gfx/load_pics.asm` | Species, move and item names, base data, learnsets, move PP, item pockets, growth-rate exp and front pictures (`FixPicBank`, `PadFrontpic`). Starter pictures match rebuilt bytes.                                                      |
-| `game/party`                     | `engine/pokemon/move_mon.asm`, `engine/pokemon/caught_data.asm`, `engine/items/items.asm`                                      | `GeneratePartyMonStats` for script gifts: DVs, `FillMoves`, PP, exp, `CalcMonStatC`, happiness and caught data. `PutItemInPocket`, key items and `TossItem`. PC boxes, TMs and HMs are refused.                                         |
+| `game/party`                     | `engine/pokemon/move_mon.asm`, `engine/pokemon/caught_data.asm`, `engine/items/items.asm`                                      | `GeneratePartyMonStats` for script gifts: DVs, `FillMoves`, PP, exp, `CalcMonStatC`, happiness and caught data. `PutItemInPocket`, key items and `TossItem`. `SendMonIntoBox`, `SendGetMonIntoFromBox` (deposit and withdraw), `RestorePPOfDepositedPokemon` and `CalcLevel` for the PC's boxes and item storage. TMs and HMs are 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.
@@ -87,7 +88,7 @@ A trainer sighting whose script is refused is not restarted until the player mov
 
 ## Next slice
 
-Route 29, Cherrygrove, Route 30 and Mr. Pokémon's house are enabled with item balls, hidden items, fruit trees and the daily reset, the Pokémon Center nurse, the recorded whiteout spawn, map trainers, the first rival battle, Elm's special call, capture and the catching tutorial. NPCs roam. Next: the PC and boxes, then party, bag and Pokégear menus over the native models. Other specials stay refused until translated.
+Route 29, Cherrygrove, Route 30 and Mr. Pokémon's house are enabled with item balls, hidden items, fruit trees and the daily reset, the Pokémon Center nurse, the recorded whiteout spawn, map trainers, the first rival battle, Elm's special call, capture and the catching tutorial. NPCs roam. The PC and boxes are ported. Next: party, bag and Pokégear menus over the native models. Other specials stay refused until translated.
 
 ## Reflect and Light Screen