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/graphql/resolvers/auth.ts

@@ -129,7 +129,11 @@ builder.mutationField("register", (t) =>
         email_verified: false,
       });
 
-      await sendVerification(args.email, verifyToken);
+      try {
+        await sendVerification(args.email, verifyToken);
+      } catch (e) {
+        console.warn("Failed to send verification email:", (e as Error).message);
+      }
       return true;
     },
   }),
@@ -184,7 +188,11 @@ builder.mutationField("requestPasswordReset", (t) =>
         .set({ password_reset_token: token, password_reset_expiry: expiry })
         .where(eq(users.id, user[0].id));
 
-      await sendPasswordReset(args.email, token);
+      try {
+        await sendPasswordReset(args.email, token);
+      } catch (e) {
+        console.warn("Failed to send password reset email:", (e as Error).message);
+      }
       return true;
     },
   }),