Port the trainer card and the play time

The player's name in the start menu opens TrainerCard: page 1 with the
name, ID, money, Pokédex count and play time, page 2 with the Johto
leaders and the badges owned, turned and closed with the original
buttons. The card picture, leader faces and animated badges come from the
ROM with _CGB_TrainerCard's palettes. GameTimer now counts the play time
from the end of the introduction, capped at 999:59:59, and saves keep it.

Closes #23

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

docs/NATIVE_PORT.md

@@ -34,6 +34,7 @@ These paths refer to the pinned [PRET source](https://github.com/pret/pokecrysta
 | `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, MOVE PKMN W/O MAIL, stats), item storage, the empty mail box and Oak's rating. Menu strings and texts come from the ROM; lists are native. Printing is not ported. |
 | `game/scripts/start-menu.ts`     | `engine/menus/start_menu.asm`, `engine/pokemon/mon_menu.asm`, `mon_submenu.asm`, `party_menu.asm`, `switchpartymons.asm`, `engine/items/pack.asm`, `engine/items/item_effects.asm` | The start menu, the party menu with the Pokémon submenu (STATS, SWITCH, MOVE, ITEM) and the pack (USE, GIVE, TOSS) with the field item effects listed below, including Rare Candy, stones and vitamins. Menu strings, prompts and texts come from the ROM; screens are native. Field moves from the menu (checked by the world), Softboiled and Milk Drink, SEL and the Select button (`SelectMenu`). MAIL and the other field items give a notice. |
 | `game/scripts/pokegear.ts`       | `engine/pokegear/pokegear.asm`, `engine/phone/phone.asm`, `engine/phone/scripts/mom.asm`, `elm.asm`, `engine/rtc/print_hours_mins.asm` | `PokeGear` with each card's joypad handling: the clock (`Pokegear_UpdateClock`, `PrintHoursMins`), the map card's landmark cursor (`TownMap_InitCursorAndPlayerIconPositions`, `TownMap_GetKantoLandmarkLimits`), the phone list (`PokegearPhone_UpdateDisplayList`, `GetCallerClassAndName`, `PokegearPhoneContactSubmenu`, `CheckCanDeletePhoneNumber`) and calls (`MakePhoneCallFromPokegear`, `CheckPhoneContactTimeOfDay`, `GetMapPhoneService`, `HangUp`). Callee scripts run in the event interpreter on the start menu's draft. Screens are native; the radio's stations are not ported. |
+| `game/scripts/trainer-card.ts`   | `engine/menus/trainer_card.asm`, `engine/gfx/player_gfx.asm` (`GetCardPic`), `engine/gfx/cgb_layouts.asm` (`_CGB_TrainerCard`), `home/game_time.asm` | `TrainerCard`'s two reachable pages with their joypad rules, strings from `.Name_Money`, `.Dex_PlayTime` and `.Badges`, the caught count, and the badges from `TrainerCard_JohtoBadgesOAM` with their eight-frame steps. `rendering/trainer-card.ts` draws the card picture, leader faces and badges from the ROM with the card's palettes and attribute map. `world/game-time.ts` is `GameTimer` (capped at 999:59:59). Text is native; the blinking colon's and badges' phase start at the page load. |
 | `game/scripts/evolution.ts`      | `engine/pokemon/evolve.asm`, `engine/pokemon/learn.asm`, `engine/movie/evolution_animation.asm`, `engine/pokemon/party_menu.asm` | `EvolveAfterBattle`/`EvolvePokemon` over the raw evolution bytes, the evolution texts and a timed, B-stoppable picture sequence, `UpdateSpeciesNameIfNotNicknamed`, `CalcMonStats` and the HP rise, `LearnLevelMoves`, `LearnMove`/`ForgetMove` outside battle and `PlacePartyMonEvoStoneCompatibility`. |
 | `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, evolution lists, learnsets, move PP, item pockets, growth-rate exp and front pictures (`FixPicBank`, `PadFrontpic`). Starter pictures match rebuilt bytes; all 251 evolution lists match the pinned source. |
 | `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.                                         |
@@ -288,8 +289,9 @@ the original.
 engine flags and the party, and `StartMenu.Items` supplies each item's
 string and description. The start menu runs as `StartMenuRun`, a native
 generator on a copy of the script state, so nothing commits before it
-closes and a save meanwhile keeps the previous state. POKéDEX, POKéGEAR,
-the trainer card and OPTION are not ported and give a notice.
+closes and a save meanwhile keeps the previous state. POKéDEX and OPTION
+are not ported and give a notice; POKéGEAR and the trainer card run inside
+the start menu run.
 
 The party menu prints `PartyMenuStrings` for the `PARTYMENUACTION_*` in use.
 `GetMonSubmenuItems` reads `MonMenuOptions`: field moves first, then STATS,