Add frontend TypeScript types for game data models

Define Game, Route, Pokemon, RouteEncounter, Encounter, and NuzlockeRun
types mirroring the backend schema, with EncounterStatus and RunStatus
discriminated union types.

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

.beans/nuzlocke-tracker-sm1b--game-data-models-types.md

@@ -1,11 +1,11 @@
 ---
 # nuzlocke-tracker-sm1b
 title: Game Data Models & Types
-status: todo
+status: completed
 type: task
 priority: normal
 created_at: 2026-02-04T15:44:08Z
-updated_at: 2026-02-04T15:45:00Z
+updated_at: 2026-02-05T12:33:38Z
 parent: nuzlocke-tracker-f5ob
 blocking:
     - nuzlocke-tracker-k5lm
@@ -17,12 +17,14 @@ blocking:
 Define the core data structures and TypeScript types for the application.
 
 ## Checklist
-- [ ] Define Game type (id, name, generation, region, routes)
-- [ ] Define Route/Area type (id, name, available Pokémon, game)
-- [ ] Define Pokemon type (national dex number, name, types, sprite URL)
-- [ ] Define Encounter type (route, pokemon, nickname, status, caught date)
-- [ ] Define NuzlockeRun type (game, settings, encounters, start date)
-- [ ] Define RuleSettings type (hardcore mode, level caps, duplicates clause, etc.)
+- [x] Define Game type (id, name, slug, generation, region, boxArtUrl, releaseYear)
+- [x] Define Route/Area type (id, name, gameId, order)
+- [x] Define Pokemon type (id, nationalDex, name, types, spriteUrl)
+- [x] Define Encounter type (id, runId, routeId, pokemonId, nickname, status, catchLevel, faintLevel, caughtAt)
+- [x] Define NuzlockeRun type (id, gameId, name, status, rules, startedAt, completedAt)
+- [x] Define RuleSettings type (already existed in rules.ts)
+- [x] Define RouteEncounter type (id, routeId, pokemonId, encounterMethod, encounterRate)
+- [x] Define EncounterStatus and RunStatus discriminated union types
 
 ## Notes
 - Keep types flexible for future expansion