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/models/boss_battle.py

@@ -0,0 +1,31 @@
+from sqlalchemy import ForeignKey, SmallInteger, String
+from sqlalchemy.orm import Mapped, mapped_column, relationship
+
+from app.core.database import Base
+
+
+class BossBattle(Base):
+    __tablename__ = "boss_battles"
+
+    id: Mapped[int] = mapped_column(primary_key=True)
+    game_id: Mapped[int] = mapped_column(ForeignKey("games.id"), index=True)
+    name: Mapped[str] = mapped_column(String(100))
+    boss_type: Mapped[str] = mapped_column(String(20))  # gym_leader, elite_four, champion, rival, evil_team, other
+    badge_name: Mapped[str | None] = mapped_column(String(100))
+    badge_image_url: Mapped[str | None] = mapped_column(String(500))
+    level_cap: Mapped[int] = mapped_column(SmallInteger)
+    order: Mapped[int] = mapped_column(SmallInteger)
+    after_route_id: Mapped[int | None] = mapped_column(
+        ForeignKey("routes.id"), index=True, default=None
+    )
+    location: Mapped[str] = mapped_column(String(200))
+    sprite_url: Mapped[str | None] = mapped_column(String(500))
+
+    game: Mapped["Game"] = relationship(back_populates="boss_battles")
+    after_route: Mapped["Route | None"] = relationship()
+    pokemon: Mapped[list["BossPokemon"]] = relationship(
+        back_populates="boss_battle", cascade="all, delete-orphan"
+    )
+
+    def __repr__(self) -> str:
+        return f"<BossBattle(id={self.id}, name='{self.name}', type='{self.boss_type}')>"