- Add state management for heats (myHeats, userHeats Map, showHeatsBanner, hideMyHeats, showHeatsModal)
- Load user's heats and all users' heats on component mount
- Display HeatsBanner when user has no heats declared
- Add "Edit Heats" button in header for users with declared heats
- Add modal for editing heats via HeatsBanner component
- Display heat badges under usernames in sidebar (format: J&J NOV 1 L)
- Show max 3 badges per user, with "+N" indicator for more
- Add filter checkbox to hide users from same heats
- Implement filter logic (hide if ANY heat matches: division + competition_type + heat_number)
- Disable UserPlus (match) button for users without declared heats
- Add Socket.IO heats_updated listener for real-time updates
- Update todo list to mark EventChatPage integration as completed
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