Initial addition of the Arcade study feature. Add connections as the first working game.

src/lib/arcade/registry.ts

@@ -0,0 +1,35 @@
+import { parseConnectionsImportBatch } from "@/lib/arcade/connectionsImport";
+import type { ArcadeGameKey } from "@/types/arcade";
+
+const CONNECTIONS_PROMPT = `You are generating a Connections study game as strict JSON.
+Return exactly one JSON object with no Markdown fence or commentary.
+
+Use this schema:
+{"schemaVersion":1,"type":"connections","name":"...","description":"...","settings":{"groupCount":4,"itemsPerGroup":4,"allowedMistakes":4},"content":[{"id":"group-1","category":"...","items":["...","...","...","..."],"explanation":"..."}]}
+
+Rules:
+- Generate exactly four groups of exactly four unique items.
+- Every item must fit only its intended group within this board.
+- Use specific, distinct category names and concise tiles of one to four words.
+- Give every group a concise explanation.
+- Do not create arbitrary leftover groups or use broad categories shared by most tiles.
+- Base all content strictly on the study material below.
+
+Material:
+[paste your notes or lecture content here]`;
+
+export const ARCADE_SERVER_REGISTRY = {
+  connections: {
+    schemaVersion: 1,
+    preview: parseConnectionsImportBatch,
+    defaultInstructions: CONNECTIONS_PROMPT,
+  },
+} satisfies Record<ArcadeGameKey, {
+  schemaVersion: number;
+  preview: typeof parseConnectionsImportBatch;
+  defaultInstructions: string;
+}>;
+
+export function getArcadeGameDefinition(gameType: ArcadeGameKey) {
+  return ARCADE_SERVER_REGISTRY[gameType];
+}