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>

backend/src/app/schemas/boss.py

@@ -0,0 +1,80 @@
+from datetime import datetime
+
+from app.schemas.base import CamelModel
+from app.schemas.pokemon import PokemonResponse
+
+
+class BossPokemonResponse(CamelModel):
+    id: int
+    pokemon_id: int
+    level: int
+    order: int
+    pokemon: PokemonResponse
+
+
+class BossBattleResponse(CamelModel):
+    id: int
+    game_id: int
+    name: str
+    boss_type: str
+    badge_name: str | None
+    badge_image_url: str | None
+    level_cap: int
+    order: int
+    after_route_id: int | None
+    location: str
+    sprite_url: str | None
+    pokemon: list[BossPokemonResponse] = []
+
+
+class BossResultResponse(CamelModel):
+    id: int
+    run_id: int
+    boss_battle_id: int
+    result: str
+    attempts: int
+    completed_at: datetime | None
+
+
+# --- Input schemas ---
+
+
+class BossBattleCreate(CamelModel):
+    name: str
+    boss_type: str
+    badge_name: str | None = None
+    badge_image_url: str | None = None
+    level_cap: int
+    order: int
+    after_route_id: int | None = None
+    location: str
+    sprite_url: str | None = None
+
+
+class BossBattleUpdate(CamelModel):
+    name: str | None = None
+    boss_type: str | None = None
+    badge_name: str | None = None
+    badge_image_url: str | None = None
+    level_cap: int | None = None
+    order: int | None = None
+    after_route_id: int | None = None
+    location: str | None = None
+    sprite_url: str | None = None
+
+
+class BossPokemonInput(CamelModel):
+    pokemon_id: int
+    level: int
+    order: int
+
+
+class BossResultCreate(CamelModel):
+    boss_battle_id: int
+    result: str
+    attempts: int = 1
+
+
+class BossResultUpdate(CamelModel):
+    result: str | None = None
+    attempts: int | None = None