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

prisma/migrations/20260714010000_add_arcade/migration.sql

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+-- CreateTable
+CREATE TABLE "ArcadePack" (
+    "id" TEXT NOT NULL PRIMARY KEY,
+    "classId" TEXT NOT NULL,
+    "gameType" TEXT NOT NULL,
+    "name" TEXT NOT NULL,
+    "description" TEXT,
+    "schemaVersion" INTEGER NOT NULL,
+    "sourceJson" TEXT NOT NULL,
+    "normalizedJson" TEXT NOT NULL,
+    "validationReportJson" TEXT NOT NULL,
+    "sortOrder" INTEGER NOT NULL DEFAULT 0,
+    "createdAt" DATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP,
+    "updatedAt" DATETIME NOT NULL,
+    CONSTRAINT "ArcadePack_classId_fkey" FOREIGN KEY ("classId") REFERENCES "Class" ("id") ON DELETE CASCADE ON UPDATE CASCADE
+);
+
+-- CreateTable
+CREATE TABLE "ArcadeAttempt" (
+    "id" TEXT NOT NULL PRIMARY KEY,
+    "arcadePackId" TEXT NOT NULL,
+    "mode" TEXT NOT NULL,
+    "score" INTEGER NOT NULL,
+    "maxScore" INTEGER NOT NULL,
+    "accuracy" REAL NOT NULL,
+    "durationSeconds" INTEGER NOT NULL,
+    "mistakes" INTEGER NOT NULL,
+    "hintsUsed" INTEGER NOT NULL,
+    "settingsJson" TEXT NOT NULL,
+    "resultsJson" TEXT NOT NULL,
+    "seed" TEXT NOT NULL,
+    "completedAt" DATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP,
+    CONSTRAINT "ArcadeAttempt_arcadePackId_fkey" FOREIGN KEY ("arcadePackId") REFERENCES "ArcadePack" ("id") ON DELETE CASCADE ON UPDATE CASCADE
+);
+
+-- CreateIndex
+CREATE INDEX "ArcadePack_classId_gameType_sortOrder_idx" ON "ArcadePack"("classId", "gameType", "sortOrder");
+
+-- CreateIndex
+CREATE INDEX "ArcadeAttempt_arcadePackId_completedAt_idx" ON "ArcadeAttempt"("arcadePackId", "completedAt");