Root Cause Fixes:
- Add _extract_items_and_count_from_response() override to DraftPickService
to handle API returning 'picks' key instead of 'draftpicks'
- Add custom from_api_data() to DraftPick model to handle API field mapping
(origowner/owner/player -> origowner_id/owner_id/player_id)
Enhancements:
- Add timer status to /draft-admin set-pick success message
- Shows relative deadline timestamp when timer active
- Shows "Timer Inactive" when timer not running
Also includes related draft module improvements from prior work.
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Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
