[codex] add notifycomp remote controls

[coder13]

Summary

Adds a NotifyComp Remote control surface to CompetitionGroups.

• Adds a staff-visible Remote tab with all-room and per-room controls for start, stop, reset, and auto-advance.
• Adds a Spotify-style bottom remote bar across competition pages showing active activities, Back/Next controls, and a center link back to the Remote overview.
• Updates the Remote overview into a click-to-toggle admin-style list with Current, Upcoming, and Over sections for both all-room groups and single-room activities.
• Uses the existing CompetitionGroups WCA session to mint a scoped notifycomp.remote token through /.netlify/functions/notify-comp-token.
• Attaches the scoped remote JWT to NotifyComp GraphQL HTTP requests only when it is valid for the current competition.
• Keeps assignment notifications on the existing token-exchange path while sharing stored WCA token validation.
• Adds focused activity-state and remote navigation helpers and tests.

Companion backend PR, now merged: coder13/competition-schedule-live#17

Validation

• yarn check:type
• yarn lint (passes with existing warnings outside this change)
• yarn test --runInBand
• yarn build
• pre-push hook reran lint, typecheck, and Jest successfully

[netlify]

✅ Deploy Preview for competition-groups ready!

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