Create comprehensive tournament management API with:
- GET/POST /api/tournaments for listing and creating tournaments
- GET/PUT/DELETE /api/tournaments/[id] for tournament CRUD operations
- GET/POST /api/tournaments/[id]/inscriptions for team registration
- PUT/DELETE /api/tournaments/[id]/inscriptions/[inscriptionId] for inscription management
- POST /api/tournaments/[id]/generate-bracket for single elimination bracket generation
- GET/PUT /api/tournaments/[id]/matches/[matchId] for match results and automatic winner advancement
Features bracket generation with proper seeding, bye handling for non-power-of-2 team counts,
and automatic winner advancement to next round matches.
Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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