fix: resolve GraphQL request hang in Fastify integration

- Pass FastifyRequest/FastifyReply directly to yoga.handleNodeRequestAndResponse
  per the official graphql-yoga Fastify integration docs. Yoga v5 uses req.body
  (already parsed by Fastify) when available, avoiding the dead raw stream issue.
- Add proper TypeScript generics for server context including db and redis
- Wrap sendVerification/sendPasswordReset in try/catch so missing SMTP
  does not crash register/requestPasswordReset mutations
- Fix migrate.ts path resolution to work with both tsx (src/) and compiled (dist/)
- Expose postgres:5432 and redis:6379 ports in compose.yml for local dev

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

packages/backend/src/scripts/migrate.ts

@@ -11,7 +11,11 @@ const db = drizzle(pool);
 
 async function main() {
   console.log("Running schema migrations...");
-  const migrationsFolder = path.join(__dirname, "../../migrations");
+  // In dev (tsx): __dirname = src/scripts → migrations are at src/migrations
+  // In prod (node dist): __dirname = dist/scripts → migrations are at ../../migrations (package root)
+  const migrationsFolder = __dirname.includes("/src/")
+    ? path.join(__dirname, "../migrations")
+    : path.join(__dirname, "../../migrations");
   await migrate(db, { migrationsFolder });
   console.log("Schema migrations complete.");
   await pool.end();