Initial commit: add FastAPI MVP (모프) and existing web app

Includes FastAPI+Jinja2+HTMX+SQLite implementation with seed categories, plus deployment templates.

Co-authored-by: Cursor <cursoragent@cursor.com>

apps/web/src/app/api/health/route.ts

@@ -0,0 +1,10 @@
+import { NextResponse } from "next/server";
+
+export async function GET() {
+  return NextResponse.json({
+    ok: true,
+    service: "all prompt (모프)",
+    time: new Date().toISOString(),
+  });
+}
+