feat(profiles): add public player profiles with clickable leaderboard entries

- Create /api/users/[id] endpoint for public player stats
- Add PublicProfileScreen component with stats by mode
- Make leaderboard entries clickable to view player profiles
- Fix .gitignore to exclude .claude/ and *.db files

app/api/users/[id]/route.ts

@@ -0,0 +1,59 @@
+import { NextResponse } from "next/server";
+import { prisma } from "../../../../lib/prisma";
+
+type Params = { params: Promise<{ id: string }> };
+
+export async function GET(_req: Request, { params }: Params) {
+  const { id } = await params;
+
+  const user = await prisma.user.findUnique({
+    where: { id },
+    select: {
+      id: true,
+      name: true,
+      createdAt: true,
+      games: {
+        select: { mode: true, won: true, clicks: true, timeSeconds: true },
+      },
+    },
+  });
+
+  if (!user) {
+    return NextResponse.json({ error: "Joueur introuvable" }, { status: 404 });
+  }
+
+  const all = user.games;
+  const won = all.filter((g) => g.won);
+  const solo = all.filter((g) => g.mode === "solo");
+  const multi = all.filter((g) => g.mode === "multi");
+  const daily = all.filter((g) => g.mode === "daily");
+  const blitz = all.filter((g) => g.mode === "blitz");
+
+  const avgClicks = won.length
+    ? Math.round(won.reduce((s, g) => s + g.clicks, 0) / won.length)
+    : null;
+  const bestClicks = won.length ? Math.min(...won.map((g) => g.clicks)) : null;
+  const bestTime = won.length ? Math.min(...won.map((g) => g.timeSeconds)) : null;
+  const avgTime = won.length
+    ? won.reduce((s, g) => s + g.timeSeconds, 0) / won.length
+    : null;
+
+  return NextResponse.json({
+    id: user.id,
+    name: user.name,
+    createdAt: user.createdAt,
+    stats: {
+      total: all.length,
+      wins: won.length,
+      winRate: all.length ? Math.round((won.length / all.length) * 100) : 0,
+      avgClicks,
+      bestClicks,
+      bestTime,
+      avgTime,
+      solo: { games: solo.length, wins: solo.filter((g) => g.won).length },
+      multi: { games: multi.length, wins: multi.filter((g) => g.won).length },
+      daily: { games: daily.length, wins: daily.filter((g) => g.won).length },
+      blitz: { games: blitz.length, wins: blitz.filter((g) => g.won).length },
+    },
+  });
+}