Phase 13: questions, sounds and videos on the scoreboard

A game can now carry a list of items the host puts on the scoreboard one at
a time: a question (shown above the standings, with an optional picture and
an answer to reveal), a sound (played through the scoreboard's speakers) or
a video such as a karaoke track (takes over the screen).

- Media is a YouTube link, an https link to a file, or an upload to the
  private game-media bucket. The scoreboard API signs a URL only for the
  item that is on screen.
- What is on screen is state on the event, like the timer, so the ping
  still carries no data. An unrevealed answer and a sound's or video's name
  never reach the scoreboard payload.
- Control room: click an item to show it, or "Random" to have one picked
  (prefers items not played yet). Show/hide answer, pause, take off screen;
  shortcuts Q / A / X.
- Duplicating a game or event copies its items and files; deleting removes
  the files.

Needs supabase/migrations/0006_screen_items.sql applied before deploying.
database.types.ts was edited by hand to match; re-run gen:types after.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

scripts/check-rls.mjs

@@ -2,7 +2,7 @@
 // Run with: npm run check:rls
 import { createClient } from "@supabase/supabase-js";
 
-const TABLES = ["events", "teams", "games", "criteria", "judges", "scores", "adjustments", "buzzes", "event_cohosts"];
+const TABLES = ["events", "teams", "games", "criteria", "judges", "scores", "adjustments", "buzzes", "event_cohosts", "game_items"];
 
 const url = process.env.NEXT_PUBLIC_SUPABASE_URL;
 const anonKey = process.env.NEXT_PUBLIC_SUPABASE_ANON_KEY;