The timer system runs outside the request context and uses its own database
connection. This fix allows isParticipantDrafted to accept an optional db
parameter so it works in both request handlers and timer contexts.
Fixes: DatabaseContext not set error during autopick
- Created draft eligibility calculation logic in `app/lib/draft-eligibility.ts`
- Added interfaces for sport availability and draft eligibility
- Implemented `calculateDraftEligibility` function to determine eligible sports based on team picks and global availability
- Developed `getEligibilitySummary` function for human-readable eligibility status
- Updated API endpoints to validate eligibility before making picks
- Enhanced frontend draft room UI to reflect eligibility status and provide visual indicators for ineligible participants
- Comprehensive implementation summary and testing documentation added
- All changes type-checked and unit tests passed successfully
