feat: add user accounts, authentication, and game history with Prisma 7

- Implement user registration and login with NextAuth v5 (email/password, JWT)
- Add authentication modal in UI with login/register tabs
- Create user profile screen showing game statistics and history
- Integrate Prisma 7 ORM with SQLite database for data persistence
- Store game results (mode, path, clicks, time) in database
- Auto-save completed games only when user is authenticated
- Separate business logic into reusable hooks (useSoloGame, useMultiGame)
- Organize UI into composable screen components (HomeScreen, SoloScreen, ProfileScreen, etc)
- Add session persistence across F5 refresh for solo and multiplayer
- Style auth modal, account button, and profile stats dashboard

prisma/migrations/20260410132623_init/migration.sql

@@ -0,0 +1,29 @@
+-- CreateTable
+CREATE TABLE "User" (
+    "id" TEXT NOT NULL PRIMARY KEY,
+    "name" TEXT NOT NULL,
+    "email" TEXT NOT NULL,
+    "password" TEXT NOT NULL,
+    "createdAt" DATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP
+);
+
+-- CreateTable
+CREATE TABLE "Game" (
+    "id" TEXT NOT NULL PRIMARY KEY,
+    "userId" TEXT NOT NULL,
+    "mode" TEXT NOT NULL,
+    "startArticle" TEXT NOT NULL,
+    "targetArticle" TEXT NOT NULL,
+    "path" TEXT NOT NULL,
+    "clicks" INTEGER NOT NULL,
+    "timeSeconds" REAL NOT NULL,
+    "won" BOOLEAN NOT NULL DEFAULT true,
+    "playedAt" DATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP,
+    CONSTRAINT "Game_userId_fkey" FOREIGN KEY ("userId") REFERENCES "User" ("id") ON DELETE CASCADE ON UPDATE CASCADE
+);
+
+-- CreateIndex
+CREATE UNIQUE INDEX "User_email_key" ON "User"("email");
+
+-- CreateIndex
+CREATE INDEX "Game_userId_idx" ON "Game"("userId");