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/SESSION_HANDOFF.md

@@ -1,7 +1,7 @@
 # Recovered Claude session
 
-Latest continuation: see **Overworld foundation completed: 2026-09-25** at
-the end of this file. Earlier sections are historical snapshots.
+Latest continuation: see **The PC and boxes: 2026-09-25** at the end of
+this file. Earlier sections are historical snapshots.
 
 Recovered on 2026-09-23 from the local Claude Code transcript
 `~/.claude/projects/-Users-kawa-Crystal/4ac88f30-29e6-4fd5-a4b2-b6a318dd83b3.jsonl`.
@@ -432,3 +432,46 @@ screens. Also open there: player switching and non-ball items in battle,
 controlled-seed comparisons beyond damage and type effectiveness, and a
 continuous opening-quest playthrough with save/reload. Later maps stay gated
 until their scripts and story are supported.
+
+## The PC and boxes: 2026-09-25
+
+The foundation above was committed and pushed as `451464f`. This increment
+continues PLAN section 2 with its first open item.
+
+- `party/storage.ts`: 14 boxes of `BoxMon` (a party struct without status,
+  HP and stats), the current box, box names (null is the ROM's "BOX" and
+  number) and 50 PC item stacks. `SendGetMonIntoFromBox` deposit and
+  withdraw, `RestorePPOfDepositedPokemon` and `CalcLevel` are shared helpers.
+  `maxPP` (ComputeMaxPP) now also serves `HealParty`.
+- `scripts/pc.ts`: `PokemonCenterPC` and the house PC. The Pokémon Center PC
+  opens Bill's PC (deposit, withdraw, release, change and name boxes) and the
+  player's PC (item withdraw, deposit and toss, the empty mail box), plus
+  Oak's rating once the Pokédex is owned. The house PC adds DECORATION. Menu
+  strings, lists and texts are read from the ROM (`PC` table in the profile,
+  verified by `check:reference`). The generic menu effect gained per-item
+  `details` (levels, box counts). A `notice` effect covers unported
+  options without aborting.
+- Facing tiles now use the ROM's `TileCollisionStdScripts` in any direction,
+  as in the original (the old table only fired when facing up).
+- Capture with a full party: `SendMonIntoBox` puts the catch first in the
+  current box, with nickname and `BallSentToPCText`. A full box keeps the ball
+  (`Ball_BoxIsFullMessage`). Filling the box sets `BATTLERESULT_BOX_FULL`.
+  `reloadmapafterbattle` then queues Bill's call through a new `memscript`
+  effect (`LoadMemScript`). It is kept in memory only and runs before scene
+  scripts.
+- Save format 3 gained `storage` and `pcItems`, migrated by absence.
+
+Not ported: MOVE PKMN W/O MAIL and the stats screen (notices), printing,
+`givepoke` with a full party (still refused; unreachable in the open maps),
+the save messages after a box switch, and the tutorial with a full party and
+box (the original loops forever; refused).
+
+Checks: 290 unit tests with the local ROM (130 passed, 160 skipped without
+it); 83 Chromium/WebKit browser tests passed, 19 skipped intentionally
+(including a new Pokémon Center PC flow in both browsers); native and
+reference builds; reference, vendor and release checks; `git diff --check`.
+Not committed.
+
+Next (PLAN section 2): the introduction's naming and clock screens; player
+switching and non-ball items in battle; MOVE PKMN W/O MAIL and the stats
+screen with the party menu; a continuous opening playthrough.