Add boss battles, level caps, and badge tracking

Introduces full boss battle system: data models (BossBattle, BossPokemon,
BossResult), API endpoints for CRUD and per-run defeat tracking, and frontend
UI including a sticky level cap bar with badge display on the run page,
interleaved boss battle cards in the encounter list, and an admin panel
section for managing boss battles and their pokemon teams.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

frontend/src/types/admin.ts

@@ -119,3 +119,34 @@ export interface UpdateEvolutionInput {
   condition?: string | null
   region?: string | null
 }
+
+// Boss battles admin
+export interface CreateBossBattleInput {
+  name: string
+  bossType: string
+  badgeName?: string | null
+  badgeImageUrl?: string | null
+  levelCap: number
+  order: number
+  afterRouteId?: number | null
+  location: string
+  spriteUrl?: string | null
+}
+
+export interface UpdateBossBattleInput {
+  name?: string
+  bossType?: string
+  badgeName?: string | null
+  badgeImageUrl?: string | null
+  levelCap?: number
+  order?: number
+  afterRouteId?: number | null
+  location?: string
+  spriteUrl?: string | null
+}
+
+export interface BossPokemonInput {
+  pokemonId: number
+  level: number
+  order: number
+}

frontend/src/types/game.ts

@@ -127,6 +127,47 @@ export interface UpdateEncounterInput {
   currentPokemonId?: number
 }
 
+// Boss battles
+export type BossType = 'gym_leader' | 'elite_four' | 'champion' | 'rival' | 'evil_team' | 'other'
+
+export interface BossPokemon {
+  id: number
+  pokemonId: number
+  level: number
+  order: number
+  pokemon: Pokemon
+}
+
+export interface BossBattle {
+  id: number
+  gameId: number
+  name: string
+  bossType: BossType
+  badgeName: string | null
+  badgeImageUrl: string | null
+  levelCap: number
+  order: number
+  afterRouteId: number | null
+  location: string
+  spriteUrl: string | null
+  pokemon: BossPokemon[]
+}
+
+export interface BossResult {
+  id: number
+  runId: number
+  bossBattleId: number
+  result: 'won' | 'lost'
+  attempts: number
+  completedAt: string | null
+}
+
+export interface CreateBossResultInput {
+  bossBattleId: number
+  result: 'won' | 'lost'
+  attempts?: number
+}
+
 // Re-export for convenience
 import type { NuzlockeRules } from './rules'
 export type { NuzlockeRules }